LCM for 39 and 42

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What's the Least Common Multiple (LCM) of 39 and 42?

Answer

LCM of 39 and 42 is
546

First common multiples: 546; 1,092; 1,638; …

546 is divisible by both: 546 ÷ 39 = 14, 546 ÷ 42 = 13 — and 14 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/39 by 14 and of y/42 by 13.

39 = 3 × 13

42 = 2 × 3 × 7

Prime3942Highest power
2—22
3333
7—77
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 × 7 × 13 = 546

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LCM Table

Number 1Number 2LCM
3927351
39281,092
39291,131
3930390
39311,209
39321,248
3933429
39341,326
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

FAQ

What's the Least Common Multiple (LCM) of 39 and 42?

LCM of 39 and 42 is 546

How to find the LCM of 39 and 42 using prime factorization?

To find the LCM of 39 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 546.

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 42: LCM = 546, GCF = 3.

See Also