What is the Least Common Multiple of 88896 and 88912?

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 88896 and 88912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88896 and 88912, than apply into the LCM equation.

GCF(88896,88912) = 16
LCM(88896,88912) = ( 88896 × 88912) / 16
LCM(88896,88912) = 7903921152 / 16
LCM(88896,88912) = 493995072

Least Common Multiple (LCM) of 88896 and 88912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88896 and 88912. First we will calculate the prime factors of 88896 and 88912.

Prime Factorization of 88896

Prime Factorization of 88912

Now multiplying the highest exponent prime factors to calculate the LCM of 88896 and 88912.

LCM(88896,88912) = 2⁶ × 3¹ × 463¹ × 5557¹
LCM(88896,88912) = 493995072