What is the Least Common Multiple of 91100 and 91118?

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 91100 and 91118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91100 and 91118, than apply into the LCM equation.

GCF(91100,91118) = 2
LCM(91100,91118) = ( 91100 × 91118) / 2
LCM(91100,91118) = 8300849800 / 2
LCM(91100,91118) = 4150424900

Least Common Multiple (LCM) of 91100 and 91118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91100 and 91118. First we will calculate the prime factors of 91100 and 91118.

Prime Factorization of 91100

Prime Factorization of 91118

Now multiplying the highest exponent prime factors to calculate the LCM of 91100 and 91118.

LCM(91100,91118) = 2² × 5² × 911¹ × 29¹ × 1571¹
LCM(91100,91118) = 4150424900