What is the Least Common Multiple of 93144 and 93164?

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 93144 and 93164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93144 and 93164, than apply into the LCM equation.

GCF(93144,93164) = 4
LCM(93144,93164) = ( 93144 × 93164) / 4
LCM(93144,93164) = 8677667616 / 4
LCM(93144,93164) = 2169416904

Least Common Multiple (LCM) of 93144 and 93164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93144 and 93164. First we will calculate the prime factors of 93144 and 93164.

Prime Factorization of 93144

Prime Factorization of 93164

Now multiplying the highest exponent prime factors to calculate the LCM of 93144 and 93164.

LCM(93144,93164) = 2³ × 3¹ × 3881¹ × 23291¹
LCM(93144,93164) = 2169416904