What is the Least Common Multiple of 88918 and 88932?

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 88918 and 88932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88918 and 88932, than apply into the LCM equation.

GCF(88918,88932) = 2
LCM(88918,88932) = ( 88918 × 88932) / 2
LCM(88918,88932) = 7907655576 / 2
LCM(88918,88932) = 3953827788

Least Common Multiple (LCM) of 88918 and 88932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88918 and 88932. First we will calculate the prime factors of 88918 and 88932.

Prime Factorization of 88918

Prime Factorization of 88932

Now multiplying the highest exponent prime factors to calculate the LCM of 88918 and 88932.

LCM(88918,88932) = 2² × 23¹ × 1933¹ × 3¹ × 7411¹
LCM(88918,88932) = 3953827788