LCM for 38 and 39

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What's the Least Common Multiple (LCM) of 38 and 39?

Answer

LCM of 38 and 39 is
1,482

First common multiples: 1,482; 2,964; 4,446; …

1,482 is divisible by both: 1,482 ÷ 38 = 39; 1,482 ÷ 39 = 38 — and 39 and 38 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/38 by 39 and of y/39 by 38.

38 and 39 are coprime (GCF = 1), so their LCM is simply the product: 38 × 39 = 1,482.

38 = 2 × 19

39 = 3 × 13

Prime3839Highest power
22—2
3—33
13—1313
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 × 13 × 19 = 1,482

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LCM Table

Number 1Number 2LCM
3824456
3825950
3826494
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

FAQ

What's the Least Common Multiple (LCM) of 38 and 39?

LCM of 38 and 39 is 1,482

How to find the LCM of 38 and 39 using prime factorization?

To find the LCM of 38 and 39, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,482.

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 39: LCM = 1,482, GCF = 1.

See Also