What is the Least Common Multiple of 88576 and 88596?

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 88576 and 88596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88576 and 88596, than apply into the LCM equation.

GCF(88576,88596) = 4
LCM(88576,88596) = ( 88576 × 88596) / 4
LCM(88576,88596) = 7847479296 / 4
LCM(88576,88596) = 1961869824

Least Common Multiple (LCM) of 88576 and 88596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88576 and 88596. First we will calculate the prime factors of 88576 and 88596.

Prime Factorization of 88576

Prime Factorization of 88596

Now multiplying the highest exponent prime factors to calculate the LCM of 88576 and 88596.

LCM(88576,88596) = 2⁹ × 173¹ × 3² × 23¹ × 107¹
LCM(88576,88596) = 1961869824