What is the Least Common Multiple of 89466 and 89472?

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 89466 and 89472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89466 and 89472, than apply into the LCM equation.

GCF(89466,89472) = 6
LCM(89466,89472) = ( 89466 × 89472) / 6
LCM(89466,89472) = 8004701952 / 6
LCM(89466,89472) = 1334116992

Least Common Multiple (LCM) of 89466 and 89472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89466 and 89472. First we will calculate the prime factors of 89466 and 89472.

Prime Factorization of 89466

Prime Factorization of 89472

Now multiplying the highest exponent prime factors to calculate the LCM of 89466 and 89472.

LCM(89466,89472) = 2⁷ × 3¹ × 13¹ × 31¹ × 37¹ × 233¹
LCM(89466,89472) = 1334116992