What is the Least Common Multiple of 89656 and 89664?

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 89656 and 89664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89656 and 89664, than apply into the LCM equation.

GCF(89656,89664) = 8
LCM(89656,89664) = ( 89656 × 89664) / 8
LCM(89656,89664) = 8038915584 / 8
LCM(89656,89664) = 1004864448

Least Common Multiple (LCM) of 89656 and 89664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89656 and 89664. First we will calculate the prime factors of 89656 and 89664.

Prime Factorization of 89656

Prime Factorization of 89664

Now multiplying the highest exponent prime factors to calculate the LCM of 89656 and 89664.

LCM(89656,89664) = 2⁶ × 7¹ × 1601¹ × 3¹ × 467¹
LCM(89656,89664) = 1004864448