What is the Least Common Multiple of 88916 and 88934?

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 88916 and 88934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88916 and 88934, than apply into the LCM equation.

GCF(88916,88934) = 2
LCM(88916,88934) = ( 88916 × 88934) / 2
LCM(88916,88934) = 7907655544 / 2
LCM(88916,88934) = 3953827772

Least Common Multiple (LCM) of 88916 and 88934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88916 and 88934. First we will calculate the prime factors of 88916 and 88934.

Prime Factorization of 88916

Prime Factorization of 88934

Now multiplying the highest exponent prime factors to calculate the LCM of 88916 and 88934.

LCM(88916,88934) = 2² × 22229¹ × 53¹ × 839¹
LCM(88916,88934) = 3953827772