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Approach 1. Integer numbers prime factorization. Approach 2. Euclid's algorithm.

Weeden 3 Cowboys Combat Jersey College White Stitched Brandon Approach 1. Integer numbers prime factorization:

27,770 = 2 × 5 × 2,777;


870,890 = 2 × 5 × 73 × 1,193;


Take all the prime factors, by the largest exponents.


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Least common multiple:


lcm (27,770; 870,890) = 2 × 5 × 73 × 1,193 × 2,777;

lcm (27,770; 870,890) = 2 × 5 × 73 × 1,193 × 2,777 = 2,418,461,530
numbers have common prime factors

Integer numbers prime factorization


Approach 2. Euclid's algorithm:

Calculate the greatest (highest) common factor (divisor), gcf (gcd):


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Step 1. Divide the larger number by the smaller one:
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870,890 ÷ 27,770 = 31 + 10,020;
Weeden 3 Cowboys Combat Jersey College White Stitched Brandon Step 2. Divide the smaller number by the above operation's remainder:
27,770 ÷ 10,020 = 2 + 7,730;
Step 3. Divide the remainder from the step 1 by the remainder from the step 2:
10,020 ÷ 7,730 = 1 + 2,290;
Step 4. Divide the remainder from the step 2 by the remainder from the step 3:
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7,730 ÷ 2,290 = 3 + 860;
Step 5. Divide the remainder from the step 3 by the remainder from the step 4:
2,290 ÷ 860 = 2 + 570;
Step 6. Divide the remainder from the step 4 by the remainder from the step 5:
860 ÷ 570 = 1 + 290;
Step 7. Divide the remainder from the step 5 by the remainder from the step 6:
570 ÷ 290 = 1 + 280;
Step 8. Divide the remainder from the step 6 by the remainder from the step 7:
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290 ÷ 280 = 1 + 10;
Weeden 3 Cowboys Combat Jersey College White Stitched Brandon Step 9. Divide the remainder from the step 7 by the remainder from the step 8:
280 ÷ 10 = 28 + 0;
At this step, the remainder is zero, so we stop:
10 is the number we were looking for, the last remainder that is not zero.
This is the greatest common factor (divisor).


Least common multiple, formula:
lcm (a; b) = (a × b) / gcf, gcd (a; b);


lcm (27,770; 870,890) =


(27,770 × 870,890) /Weeden 3 Cowboys Combat Jersey College White Stitched Brandon gcf, gcd (27,770; 870,890) =


24,184,615,300 /Weeden 3 Cowboys Combat Jersey College White Stitched Brandon 10 =


2,418,461,530;

lcm (27,770; 870,890) = 2,418,461,530 = 2 × 5 × 73 × 1,193 × 2,777;

Euclid's algorithm

Final answer:

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Least common multiple:
lcm (27,770; 870,890) = 2,418,461,530 = 2 × 5 × 73 × 1,193 × 2,777;
Numbers have common prime factors.

lcm (27,770; 6,978) = ?

Online calculator: LCM, the least common multiple

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Latest calculated least common multiples, LCM

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lcm (27,770; 870,890) = 2,418,461,530 = 2 × 5 × 73 × 1193 × 2777 Aug 10 04:46 UTC (GMT)
lcm (500; 550) = 5,500 = 22 × 5Weeden 3 Cowboys Combat Jersey College White Stitched Brandon 3 × 11 Weeden 3 Cowboys Combat Jersey College White Stitched Brandon Weeden 3 Cowboys Combat Jersey College White Stitched Brandon Aug 10 04:46 UTC (GMT)Cooper Crimson Stitched College Sec Jersey White Tide Amari 9 Patch
lcm (500; 550) = 5,500 = 22 × 53 × 11 Aug 10 04:46 UTC (GMT)
lcm (134; 167) = 22,378 = 2 × 67 × 167 Aug 10 04:46 UTC (GMT)
lcm (134; 167) = 22,378 = 2 × 67 × 167 Weeden 3 Cowboys Combat Jersey College White Stitched Brandon Aug 10 04:46 UTC (GMT)
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lcm (365; 687) = 250,755 = 3 × 5 × 73 × 229 Crimson Playoff Donot Patch Jersey 30 National Football Championship Red 2016 Hightower Stitched College Tide Aug 10 04:46 UTC (GMT)
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lcm (1,331; 343) = 456,533 = 73 × 113 Aug 10 04:46 UTC (GMT)
lcm (600; 110) = 6,600 = 23 × 3 × 52 × 11 Aug 10 04:45 UTC (GMT)
lcm (100; 3) = 300 = 22 × 3 × 5Weeden 3 Cowboys Combat Jersey College White Stitched Brandon 2 Aug 10 04:45 UTC (GMT)
lcm (643; 2) = 1,286 = 2 × 643 Aug 10 04:45 UTC (GMT)
lcm (567; 378) = 1,134 = 2 × 34 × 7 Aug 10 04:45 UTC (GMT)
least common multiple, see more...

Tutoring: what is it and how to calculate the least common multiple LCM of integer numbers

60 is a common multiple of the numbers 6 and 15, because 60 is a multiple of 6 and is also a multiple of 15. But there is also an infinite number of common multiples of 6 and 15.

If "v" is a multiple of "a" and "b", then all the multiples of "v" are also multiples of "a" and "b".

Common multiples of 6 and 15 are: 30, 60, 90, 120... Among them, 30 is the lowest and we say that 30 is the least common multiple, or the lowest common multiple, or the smallest common multiple of 6 and 15, abbreviated as LCM.

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If e = LCM (a; b), then "e" contains all the prime factors involved in the prime factorizations of both "a" and "b", by the highest powers (exponents).

Based on this rule we can calculate the least common multiple, LCM, of the three numbers in the example below:

  • 40 = 23 × 5
  • 36 = 22 × 32
  • 126 = 2 × 32 × 7
  • LCM (40; 36; 126) = 23 × 32 × 5 × 7 = 2,520

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