What is the Least Common Multiple of 89328 and 89344?

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 89328 and 89344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89328 and 89344, than apply into the LCM equation.

GCF(89328,89344) = 16
LCM(89328,89344) = ( 89328 × 89344) / 16
LCM(89328,89344) = 7980920832 / 16
LCM(89328,89344) = 498807552

Least Common Multiple (LCM) of 89328 and 89344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89328 and 89344. First we will calculate the prime factors of 89328 and 89344.

Prime Factorization of 89328

Prime Factorization of 89344

Now multiplying the highest exponent prime factors to calculate the LCM of 89328 and 89344.

LCM(89328,89344) = 2⁸ × 3¹ × 1861¹ × 349¹
LCM(89328,89344) = 498807552