LCM for 4 and 28

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What's the Least Common Multiple (LCM) of 4 and 28?

Answer

LCM of 4 and 28 is
28

First common multiples: 28, 56, 84, …

As a common denominator: multiply the top and bottom of x/4 by 7.

4 divides 28 (28 ÷ 4 = 7), so the LCM is the larger number itself.

4 = 22

28 = 22 × 7

Prime428Highest power
2222222
7—77

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

LCM = 22 × 7 = 28

See Also

FAQ

What's the Least Common Multiple (LCM) of 4 and 28?

LCM of 4 and 28 is 28

How to find the LCM of 4 and 28 using prime factorization?

To find the LCM of 4 and 28, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 28.

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 28: LCM = 28, GCF = 4.