What is the Least Common Multiple of 86712 and 86731?

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 86712 and 86731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86712 and 86731, than apply into the LCM equation.

GCF(86712,86731) = 1
LCM(86712,86731) = ( 86712 × 86731) / 1
LCM(86712,86731) = 7520618472 / 1
LCM(86712,86731) = 7520618472

Least Common Multiple (LCM) of 86712 and 86731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86712 and 86731. First we will calculate the prime factors of 86712 and 86731.

Prime Factorization of 86712

Prime Factorization of 86731

Now multiplying the highest exponent prime factors to calculate the LCM of 86712 and 86731.

LCM(86712,86731) = 2³ × 3¹ × 3613¹ × 43¹ × 2017¹
LCM(86712,86731) = 7520618472