What is the Least Common Multiple of 89712 and 89724?

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 89712 and 89724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89712 and 89724, than apply into the LCM equation.

GCF(89712,89724) = 12
LCM(89712,89724) = ( 89712 × 89724) / 12
LCM(89712,89724) = 8049319488 / 12
LCM(89712,89724) = 670776624

Least Common Multiple (LCM) of 89712 and 89724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89712 and 89724. First we will calculate the prime factors of 89712 and 89724.

Prime Factorization of 89712

Prime Factorization of 89724

Now multiplying the highest exponent prime factors to calculate the LCM of 89712 and 89724.

LCM(89712,89724) = 2⁴ × 3² × 7¹ × 89¹ × 7477¹
LCM(89712,89724) = 670776624