What is the Least Common Multiple of 57144 and 57164?

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 57144 and 57164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57144 and 57164, than apply into the LCM equation.

GCF(57144,57164) = 4
LCM(57144,57164) = ( 57144 × 57164) / 4
LCM(57144,57164) = 3266579616 / 4
LCM(57144,57164) = 816644904

Least Common Multiple (LCM) of 57144 and 57164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57144 and 57164. First we will calculate the prime factors of 57144 and 57164.

Prime Factorization of 57144

Prime Factorization of 57164

Now multiplying the highest exponent prime factors to calculate the LCM of 57144 and 57164.

LCM(57144,57164) = 2³ × 3¹ × 2381¹ × 31¹ × 461¹
LCM(57144,57164) = 816644904