What is the Least Common Multiple of 89312 and 89324?

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 89312 and 89324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89312 and 89324, than apply into the LCM equation.

GCF(89312,89324) = 4
LCM(89312,89324) = ( 89312 × 89324) / 4
LCM(89312,89324) = 7977705088 / 4
LCM(89312,89324) = 1994426272

Least Common Multiple (LCM) of 89312 and 89324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89312 and 89324. First we will calculate the prime factors of 89312 and 89324.

Prime Factorization of 89312

Prime Factorization of 89324

Now multiplying the highest exponent prime factors to calculate the LCM of 89312 and 89324.

LCM(89312,89324) = 2⁵ × 2791¹ × 137¹ × 163¹
LCM(89312,89324) = 1994426272