What is the Least Common Multiple of 89328 and 89334?

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 89334 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 89334, than apply into the LCM equation.

GCF(89328,89334) = 6
LCM(89328,89334) = ( 89328 × 89334) / 6
LCM(89328,89334) = 7980027552 / 6
LCM(89328,89334) = 1330004592

Least Common Multiple (LCM) of 89328 and 89334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89328 and 89334. First we will calculate the prime factors of 89328 and 89334.

Prime Factorization of 89328

Prime Factorization of 89334

Now multiplying the highest exponent prime factors to calculate the LCM of 89328 and 89334.

LCM(89328,89334) = 2⁴ × 3² × 1861¹ × 7¹ × 709¹
LCM(89328,89334) = 1330004592