What is the Least Common Multiple of 85938 and 85957?

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 85938 and 85957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85938 and 85957, than apply into the LCM equation.

GCF(85938,85957) = 1
LCM(85938,85957) = ( 85938 × 85957) / 1
LCM(85938,85957) = 7386972666 / 1
LCM(85938,85957) = 7386972666

Least Common Multiple (LCM) of 85938 and 85957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85938 and 85957. First we will calculate the prime factors of 85938 and 85957.

Prime Factorization of 85938

Prime Factorization of 85957

Now multiplying the highest exponent prime factors to calculate the LCM of 85938 and 85957.

LCM(85938,85957) = 2¹ × 3¹ × 14323¹ × 43¹ × 1999¹
LCM(85938,85957) = 7386972666