What is the Least Common Multiple of 86721 and 86727?

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 86727 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 86727, than apply into the LCM equation.

GCF(86721,86727) = 3
LCM(86721,86727) = ( 86721 × 86727) / 3
LCM(86721,86727) = 7521052167 / 3
LCM(86721,86727) = 2507017389

Least Common Multiple (LCM) of 86721 and 86727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86721 and 86727. First we will calculate the prime factors of 86721 and 86727.

Prime Factorization of 86721

Prime Factorization of 86727

Now multiplying the highest exponent prime factors to calculate the LCM of 86721 and 86727.

LCM(86721,86727) = 3¹ × 137¹ × 211¹ × 28909¹
LCM(86721,86727) = 2507017389