What is the Least Common Multiple of 85938 and 85947?

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 85947 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 85947, than apply into the LCM equation.

GCF(85938,85947) = 3
LCM(85938,85947) = ( 85938 × 85947) / 3
LCM(85938,85947) = 7386113286 / 3
LCM(85938,85947) = 2462037762

Least Common Multiple (LCM) of 85938 and 85947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85938 and 85947. First we will calculate the prime factors of 85938 and 85947.

Prime Factorization of 85938

Prime Factorization of 85947

Now multiplying the highest exponent prime factors to calculate the LCM of 85938 and 85947.

LCM(85938,85947) = 2¹ × 3¹ × 14323¹ × 28649¹
LCM(85938,85947) = 2462037762