What is the Least Common Multiple of 86112 and 86127?

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 86112 and 86127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86112 and 86127, than apply into the LCM equation.

GCF(86112,86127) = 3
LCM(86112,86127) = ( 86112 × 86127) / 3
LCM(86112,86127) = 7416568224 / 3
LCM(86112,86127) = 2472189408

Least Common Multiple (LCM) of 86112 and 86127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86112 and 86127. First we will calculate the prime factors of 86112 and 86127.

Prime Factorization of 86112

Prime Factorization of 86127

Now multiplying the highest exponent prime factors to calculate the LCM of 86112 and 86127.

LCM(86112,86127) = 2⁵ × 3² × 13¹ × 23¹ × 19¹ × 1511¹
LCM(86112,86127) = 2472189408