What is the Least Common Multiple of 86736 and 86756?

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 86736 and 86756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86736 and 86756, than apply into the LCM equation.

GCF(86736,86756) = 4
LCM(86736,86756) = ( 86736 × 86756) / 4
LCM(86736,86756) = 7524868416 / 4
LCM(86736,86756) = 1881217104

Least Common Multiple (LCM) of 86736 and 86756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86736 and 86756. First we will calculate the prime factors of 86736 and 86756.

Prime Factorization of 86736

Prime Factorization of 86756

Now multiplying the highest exponent prime factors to calculate the LCM of 86736 and 86756.

LCM(86736,86756) = 2⁴ × 3¹ × 13¹ × 139¹ × 23² × 41¹
LCM(86736,86756) = 1881217104