What is the Least Common Multiple of 23616 and 23628?

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 23616 and 23628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23616 and 23628, than apply into the LCM equation.

GCF(23616,23628) = 12
LCM(23616,23628) = ( 23616 × 23628) / 12
LCM(23616,23628) = 557998848 / 12
LCM(23616,23628) = 46499904

Least Common Multiple (LCM) of 23616 and 23628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23616 and 23628. First we will calculate the prime factors of 23616 and 23628.

Prime Factorization of 23616

Prime Factorization of 23628

Now multiplying the highest exponent prime factors to calculate the LCM of 23616 and 23628.

LCM(23616,23628) = 2⁶ × 3² × 41¹ × 11¹ × 179¹
LCM(23616,23628) = 46499904