What is the Least Common Multiple of 96342 and 96352?

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 96342 and 96352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96342 and 96352, than apply into the LCM equation.

GCF(96342,96352) = 2
LCM(96342,96352) = ( 96342 × 96352) / 2
LCM(96342,96352) = 9282744384 / 2
LCM(96342,96352) = 4641372192

Least Common Multiple (LCM) of 96342 and 96352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96342 and 96352. First we will calculate the prime factors of 96342 and 96352.

Prime Factorization of 96342

Prime Factorization of 96352

Now multiplying the highest exponent prime factors to calculate the LCM of 96342 and 96352.

LCM(96342,96352) = 2⁵ × 3¹ × 16057¹ × 3011¹
LCM(96342,96352) = 4641372192