What is the Least Common Multiple of 96432 and 96452?

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 96432 and 96452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96432 and 96452, than apply into the LCM equation.

GCF(96432,96452) = 4
LCM(96432,96452) = ( 96432 × 96452) / 4
LCM(96432,96452) = 9301059264 / 4
LCM(96432,96452) = 2325264816

Least Common Multiple (LCM) of 96432 and 96452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96432 and 96452. First we will calculate the prime factors of 96432 and 96452.

Prime Factorization of 96432

Prime Factorization of 96452

Now multiplying the highest exponent prime factors to calculate the LCM of 96432 and 96452.

LCM(96432,96452) = 2⁴ × 3¹ × 7² × 41¹ × 24113¹
LCM(96432,96452) = 2325264816