What is the Least Common Multiple of 89304 and 89321?

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 89304 and 89321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89304 and 89321, than apply into the LCM equation.

GCF(89304,89321) = 1
LCM(89304,89321) = ( 89304 × 89321) / 1
LCM(89304,89321) = 7976722584 / 1
LCM(89304,89321) = 7976722584

Least Common Multiple (LCM) of 89304 and 89321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89304 and 89321. First we will calculate the prime factors of 89304 and 89321.

Prime Factorization of 89304

Prime Factorization of 89321

Now multiplying the highest exponent prime factors to calculate the LCM of 89304 and 89321.

LCM(89304,89321) = 2³ × 3¹ × 61² × 179¹ × 499¹
LCM(89304,89321) = 7976722584