What is the Least Common Multiple of 96352 and 96372?

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 96352 and 96372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96352 and 96372, than apply into the LCM equation.

GCF(96352,96372) = 4
LCM(96352,96372) = ( 96352 × 96372) / 4
LCM(96352,96372) = 9285634944 / 4
LCM(96352,96372) = 2321408736

Least Common Multiple (LCM) of 96352 and 96372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96352 and 96372. First we will calculate the prime factors of 96352 and 96372.

Prime Factorization of 96352

Prime Factorization of 96372

Now multiplying the highest exponent prime factors to calculate the LCM of 96352 and 96372.

LCM(96352,96372) = 2⁵ × 3011¹ × 3² × 2677¹
LCM(96352,96372) = 2321408736