What is the Least Common Multiple of 85713 and 85725?

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 85713 and 85725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85713 and 85725, than apply into the LCM equation.

GCF(85713,85725) = 3
LCM(85713,85725) = ( 85713 × 85725) / 3
LCM(85713,85725) = 7347746925 / 3
LCM(85713,85725) = 2449248975

Least Common Multiple (LCM) of 85713 and 85725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85713 and 85725. First we will calculate the prime factors of 85713 and 85725.

Prime Factorization of 85713

Prime Factorization of 85725

Now multiplying the highest exponent prime factors to calculate the LCM of 85713 and 85725.

LCM(85713,85725) = 3³ × 28571¹ × 5² × 127¹
LCM(85713,85725) = 2449248975