What is the Least Common Multiple of 85125 and 85132?

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 85125 and 85132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85125 and 85132, than apply into the LCM equation.

GCF(85125,85132) = 1
LCM(85125,85132) = ( 85125 × 85132) / 1
LCM(85125,85132) = 7246861500 / 1
LCM(85125,85132) = 7246861500

Least Common Multiple (LCM) of 85125 and 85132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85125 and 85132. First we will calculate the prime factors of 85125 and 85132.

Prime Factorization of 85125

Prime Factorization of 85132

Now multiplying the highest exponent prime factors to calculate the LCM of 85125 and 85132.

LCM(85125,85132) = 3¹ × 5³ × 227¹ × 2² × 21283¹
LCM(85125,85132) = 7246861500