What is the Least Common Multiple of 86016 and 86025?

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 86016 and 86025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86016 and 86025, than apply into the LCM equation.

GCF(86016,86025) = 3
LCM(86016,86025) = ( 86016 × 86025) / 3
LCM(86016,86025) = 7399526400 / 3
LCM(86016,86025) = 2466508800

Least Common Multiple (LCM) of 86016 and 86025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86016 and 86025. First we will calculate the prime factors of 86016 and 86025.

Prime Factorization of 86016

Prime Factorization of 86025

Now multiplying the highest exponent prime factors to calculate the LCM of 86016 and 86025.

LCM(86016,86025) = 2¹² × 3¹ × 7¹ × 5² × 31¹ × 37¹
LCM(86016,86025) = 2466508800