What is the Least Common Multiple of 93152 and 93168?

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 93152 and 93168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93152 and 93168, than apply into the LCM equation.

GCF(93152,93168) = 16
LCM(93152,93168) = ( 93152 × 93168) / 16
LCM(93152,93168) = 8678785536 / 16
LCM(93152,93168) = 542424096

Least Common Multiple (LCM) of 93152 and 93168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93152 and 93168. First we will calculate the prime factors of 93152 and 93168.

Prime Factorization of 93152

Prime Factorization of 93168

Now multiplying the highest exponent prime factors to calculate the LCM of 93152 and 93168.

LCM(93152,93168) = 2⁵ × 41¹ × 71¹ × 3² × 647¹
LCM(93152,93168) = 542424096