What is the Least Common Multiple of 24438 and 24456?

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 24438 and 24456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24438 and 24456, than apply into the LCM equation.

GCF(24438,24456) = 6
LCM(24438,24456) = ( 24438 × 24456) / 6
LCM(24438,24456) = 597655728 / 6
LCM(24438,24456) = 99609288

Least Common Multiple (LCM) of 24438 and 24456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24438 and 24456. First we will calculate the prime factors of 24438 and 24456.

Prime Factorization of 24438

Prime Factorization of 24456

Now multiplying the highest exponent prime factors to calculate the LCM of 24438 and 24456.

LCM(24438,24456) = 2³ × 3¹ × 4073¹ × 1019¹
LCM(24438,24456) = 99609288