What is the Least Common Multiple of 85128 and 85142?

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 85142 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 85142, than apply into the LCM equation.

GCF(85128,85142) = 2
LCM(85128,85142) = ( 85128 × 85142) / 2
LCM(85128,85142) = 7247968176 / 2
LCM(85128,85142) = 3623984088

Least Common Multiple (LCM) of 85128 and 85142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85128 and 85142. First we will calculate the prime factors of 85128 and 85142.

Prime Factorization of 85128

Prime Factorization of 85142

Now multiplying the highest exponent prime factors to calculate the LCM of 85128 and 85142.

LCM(85128,85142) = 2³ × 3¹ × 3547¹ × 42571¹
LCM(85128,85142) = 3623984088