What is the Least Common Multiple of 93792 and 93808?

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 93792 and 93808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93792 and 93808, than apply into the LCM equation.

GCF(93792,93808) = 16
LCM(93792,93808) = ( 93792 × 93808) / 16
LCM(93792,93808) = 8798439936 / 16
LCM(93792,93808) = 549902496

Least Common Multiple (LCM) of 93792 and 93808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93792 and 93808. First we will calculate the prime factors of 93792 and 93808.

Prime Factorization of 93792

Prime Factorization of 93808

Now multiplying the highest exponent prime factors to calculate the LCM of 93792 and 93808.

LCM(93792,93808) = 2⁵ × 3¹ × 977¹ × 11¹ × 13¹ × 41¹
LCM(93792,93808) = 549902496