LCM for 16 and 38

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What's the Least Common Multiple (LCM) of 16 and 38?

Answer

LCM of 16 and 38 is
304

First common multiples: 304, 608, 912, …

304 is divisible by both: 304 ÷ 16 = 19, 304 ÷ 38 = 8 — and 19 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/16 by 19 and of y/38 by 8.

16 = 24

38 = 2 × 19

Prime1638Highest power
224224
19—1919

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

LCM = 24 × 19 = 304

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FAQ

What's the Least Common Multiple (LCM) of 16 and 38?

LCM of 16 and 38 is 304

How to find the LCM of 16 and 38 using prime factorization?

To find the LCM of 16 and 38, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 304.

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 16 and 38: LCM = 304, GCF = 2.