What is the Least Common Multiple of 85138 and 85152?

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 85138 and 85152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85138 and 85152, than apply into the LCM equation.

GCF(85138,85152) = 2
LCM(85138,85152) = ( 85138 × 85152) / 2
LCM(85138,85152) = 7249670976 / 2
LCM(85138,85152) = 3624835488

Least Common Multiple (LCM) of 85138 and 85152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85138 and 85152. First we will calculate the prime factors of 85138 and 85152.

Prime Factorization of 85138

Prime Factorization of 85152

Now multiplying the highest exponent prime factors to calculate the LCM of 85138 and 85152.

LCM(85138,85152) = 2⁵ × 42569¹ × 3¹ × 887¹
LCM(85138,85152) = 3624835488