What is the Least Common Multiple of 23712 and 23728?

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 23712 and 23728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23712 and 23728, than apply into the LCM equation.

GCF(23712,23728) = 16
LCM(23712,23728) = ( 23712 × 23728) / 16
LCM(23712,23728) = 562638336 / 16
LCM(23712,23728) = 35164896

Least Common Multiple (LCM) of 23712 and 23728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23712 and 23728. First we will calculate the prime factors of 23712 and 23728.

Prime Factorization of 23712

Prime Factorization of 23728

Now multiplying the highest exponent prime factors to calculate the LCM of 23712 and 23728.

LCM(23712,23728) = 2⁵ × 3¹ × 13¹ × 19¹ × 1483¹
LCM(23712,23728) = 35164896