What is the Least Common Multiple of 39456 and 39472?

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 39456 and 39472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39456 and 39472, than apply into the LCM equation.

GCF(39456,39472) = 16
LCM(39456,39472) = ( 39456 × 39472) / 16
LCM(39456,39472) = 1557407232 / 16
LCM(39456,39472) = 97337952

Least Common Multiple (LCM) of 39456 and 39472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39456 and 39472. First we will calculate the prime factors of 39456 and 39472.

Prime Factorization of 39456

Prime Factorization of 39472

Now multiplying the highest exponent prime factors to calculate the LCM of 39456 and 39472.

LCM(39456,39472) = 2⁵ × 3² × 137¹ × 2467¹
LCM(39456,39472) = 97337952