What is the Least Common Multiple of 85128 and 85144?

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 85128 and 85144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85128 and 85144, than apply into the LCM equation.

GCF(85128,85144) = 8
LCM(85128,85144) = ( 85128 × 85144) / 8
LCM(85128,85144) = 7248138432 / 8
LCM(85128,85144) = 906017304

Least Common Multiple (LCM) of 85128 and 85144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85128 and 85144. First we will calculate the prime factors of 85128 and 85144.

Prime Factorization of 85128

Prime Factorization of 85144

Now multiplying the highest exponent prime factors to calculate the LCM of 85128 and 85144.

LCM(85128,85144) = 2³ × 3¹ × 3547¹ × 29¹ × 367¹
LCM(85128,85144) = 906017304