What is the Least Common Multiple of 24724 and 24736?

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 24724 and 24736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24724 and 24736, than apply into the LCM equation.

GCF(24724,24736) = 4
LCM(24724,24736) = ( 24724 × 24736) / 4
LCM(24724,24736) = 611572864 / 4
LCM(24724,24736) = 152893216

Least Common Multiple (LCM) of 24724 and 24736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24724 and 24736. First we will calculate the prime factors of 24724 and 24736.

Prime Factorization of 24724

Prime Factorization of 24736

Now multiplying the highest exponent prime factors to calculate the LCM of 24724 and 24736.

LCM(24724,24736) = 2⁵ × 7¹ × 883¹ × 773¹
LCM(24724,24736) = 152893216