What is the Least Common Multiple of 23256 and 23272?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 23256 and 23272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23256 and 23272, than apply into the LCM equation.

GCF(23256,23272) = 8
LCM(23256,23272) = ( 23256 × 23272) / 8
LCM(23256,23272) = 541213632 / 8
LCM(23256,23272) = 67651704

Least Common Multiple (LCM) of 23256 and 23272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23256 and 23272. First we will calculate the prime factors of 23256 and 23272.

Prime Factorization of 23256

Prime Factorization of 23272

Now multiplying the highest exponent prime factors to calculate the LCM of 23256 and 23272.

LCM(23256,23272) = 2³ × 3² × 17¹ × 19¹ × 2909¹
LCM(23256,23272) = 67651704