LCM for 38 and 42

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What's the Least Common Multiple (LCM) of 38 and 42?

Answer

LCM of 38 and 42 is
798

First common multiples: 798; 1,596; 2,394; …

798 is divisible by both: 798 ÷ 38 = 21, 798 ÷ 42 = 19 — and 21 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/38 by 21 and of y/42 by 19.

38 = 2 × 19

42 = 2 × 3 × 7

Prime3842Highest power
2222
3—33
7—77
1919—19

— = 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 × 19 = 798

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LCM Table

Number 1Number 2LCM
38271,026
3828532
38291,102
3830570
38311,178
3832608
38331,254
3834646
38351,330
3836684
38371,406
383838
38391,482
3840760
38411,558
3842798
38431,634
3844836
38451,710
3846874
38471,786
3848912
38491,862
3850950
38511,938
3852988
38532,014
38541,026
38552,090
38561,064

FAQ

What's the Least Common Multiple (LCM) of 38 and 42?

LCM of 38 and 42 is 798

How to find the LCM of 38 and 42 using prime factorization?

To find the LCM of 38 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 798.

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 38 and 42: LCM = 798, GCF = 2.

See Also