LCM for 39 and 50

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What's the Least Common Multiple (LCM) of 39 and 50?

Answer

LCM of 39 and 50 is
1,950

First common multiples: 1,950; 3,900; 5,850; …

1,950 is divisible by both: 1,950 ÷ 39 = 50; 1,950 ÷ 50 = 39 — and 50 and 39 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/39 by 50 and of y/50 by 39.

39 and 50 are coprime (GCF = 1), so their LCM is simply the product: 39 × 50 = 1,950.

39 = 3 × 13

50 = 2 × 52

Prime3950Highest power
2—22
33—3
5—5252
1313—13

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 3 × 52 × 13 = 1,950

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LCM Table

Number 1Number 2LCM
39351,365
3936468
39371,443
39381,482
393939
39401,560
39411,599
3942546
39431,677
39441,716
3945585
39461,794
39471,833
3948624
39491,911
39501,950
3951663
3952156
39532,067
3954702
39552,145
39562,184
3957741
39582,262
39592,301
3960780
39612,379
39622,418
3963819
39642,496

FAQ

What's the Least Common Multiple (LCM) of 39 and 50?

LCM of 39 and 50 is 1,950

How to find the LCM of 39 and 50 using prime factorization?

To find the LCM of 39 and 50, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,950.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 39 and 50: LCM = 1,950, GCF = 1.

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