LCM for 4 and 38

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What's the Least Common Multiple (LCM) of 4 and 38?

Answer

LCM of 4 and 38 is
76

First common multiples: 76, 152, 228, …

76 is divisible by both: 76 ÷ 4 = 19, 76 ÷ 38 = 2 — and 19 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/4 by 19 and of y/38 by 2.

4 = 22

38 = 2 × 19

Prime438Highest power
222222
19—1919

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

LCM = 22 × 19 = 76

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LCM Table

Number 1Number 2LCM
41616
41768
41836
41976
42020
42184
42424
425100
42652
42828
429116
43060
433132
435140
43636
43876
44040
443172
44444
445180
44692
447188
44848
450100
451204
454108
455220
459236
46060
48080

FAQ

What's the Least Common Multiple (LCM) of 4 and 38?

LCM of 4 and 38 is 76

How to find the LCM of 4 and 38 using prime factorization?

To find the LCM of 4 and 38, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 76.

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 4 and 38: LCM = 76, GCF = 2.

See Also