What is the Least Common Multiple of 86528 and 86547?

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 86528 and 86547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86528 and 86547, than apply into the LCM equation.

GCF(86528,86547) = 1
LCM(86528,86547) = ( 86528 × 86547) / 1
LCM(86528,86547) = 7488738816 / 1
LCM(86528,86547) = 7488738816

Least Common Multiple (LCM) of 86528 and 86547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86528 and 86547. First we will calculate the prime factors of 86528 and 86547.

Prime Factorization of 86528

Prime Factorization of 86547

Now multiplying the highest exponent prime factors to calculate the LCM of 86528 and 86547.

LCM(86528,86547) = 2⁹ × 13² × 3¹ × 17¹ × 1697¹
LCM(86528,86547) = 7488738816