LCM for 38 and 46

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What's the Least Common Multiple (LCM) of 38 and 46?

Answer

LCM of 38 and 46 is
874

First common multiples: 874; 1,748; 2,622; …

874 is divisible by both: 874 ÷ 38 = 23, 874 ÷ 46 = 19 — and 23 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 23 and of y/46 by 19.

38 = 2 × 19

46 = 2 × 23

Prime3846Highest power
2222
1919—19
23—2323

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

LCM = 2 × 19 × 23 = 874

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LCM Table

Number 1Number 2LCM
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
3857114
38581,102
38592,242
38601,140

FAQ

What's the Least Common Multiple (LCM) of 38 and 46?

LCM of 38 and 46 is 874

How to find the LCM of 38 and 46 using prime factorization?

To find the LCM of 38 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 874.

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 46: LCM = 874, GCF = 2.

See Also