What is the Least Common Multiple of 86721 and 86732?

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 86721 and 86732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86721 and 86732, than apply into the LCM equation.

GCF(86721,86732) = 1
LCM(86721,86732) = ( 86721 × 86732) / 1
LCM(86721,86732) = 7521485772 / 1
LCM(86721,86732) = 7521485772

Least Common Multiple (LCM) of 86721 and 86732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86721 and 86732. First we will calculate the prime factors of 86721 and 86732.

Prime Factorization of 86721

Prime Factorization of 86732

Now multiplying the highest exponent prime factors to calculate the LCM of 86721 and 86732.

LCM(86721,86732) = 3¹ × 137¹ × 211¹ × 2² × 21683¹
LCM(86721,86732) = 7521485772