What is the Least Common Multiple of 86509 and 86528?

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 86509 and 86528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86509 and 86528, than apply into the LCM equation.

GCF(86509,86528) = 1
LCM(86509,86528) = ( 86509 × 86528) / 1
LCM(86509,86528) = 7485450752 / 1
LCM(86509,86528) = 7485450752

Least Common Multiple (LCM) of 86509 and 86528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86509 and 86528. First we will calculate the prime factors of 86509 and 86528.

Prime Factorization of 86509

Prime Factorization of 86528

Now multiplying the highest exponent prime factors to calculate the LCM of 86509 and 86528.

LCM(86509,86528) = 86509¹ × 2⁹ × 13²
LCM(86509,86528) = 7485450752