What is the Least Common Multiple of 57129 and 57144?

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 57129 and 57144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57129 and 57144, than apply into the LCM equation.

GCF(57129,57144) = 3
LCM(57129,57144) = ( 57129 × 57144) / 3
LCM(57129,57144) = 3264579576 / 3
LCM(57129,57144) = 1088193192

Least Common Multiple (LCM) of 57129 and 57144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57129 and 57144. First we will calculate the prime factors of 57129 and 57144.

Prime Factorization of 57129

Prime Factorization of 57144

Now multiplying the highest exponent prime factors to calculate the LCM of 57129 and 57144.

LCM(57129,57144) = 3¹ × 137¹ × 139¹ × 2³ × 2381¹
LCM(57129,57144) = 1088193192