LCM for 23 and 46

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What's the Least Common Multiple (LCM) of 23 and 46?

Answer

LCM of 23 and 46 is
46

First common multiples: 46, 92, 138, …

As a common denominator: multiply the top and bottom of x/23 by 2.

23 divides 46 (46 ÷ 23 = 2), so the LCM is the larger number itself.

23 — prime

46 = 2 × 23

Prime2346Highest power
2—22
23232323

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

LCM = 2 × 23 = 46

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FAQ

What's the Least Common Multiple (LCM) of 23 and 46?

LCM of 23 and 46 is 46

How to find the LCM of 23 and 46 using prime factorization?

To find the LCM of 23 and 46, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 46.

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 23 and 46: LCM = 46, GCF = 23.