What is the Least Common Multiple of 9126 and 9136?

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 9126 and 9136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9126 and 9136, than apply into the LCM equation.

GCF(9126,9136) = 2
LCM(9126,9136) = ( 9126 × 9136) / 2
LCM(9126,9136) = 83375136 / 2
LCM(9126,9136) = 41687568

Least Common Multiple (LCM) of 9126 and 9136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9126 and 9136. First we will calculate the prime factors of 9126 and 9136.

Prime Factorization of 9126

Prime Factorization of 9136

Now multiplying the highest exponent prime factors to calculate the LCM of 9126 and 9136.

LCM(9126,9136) = 2⁴ × 3³ × 13² × 571¹
LCM(9126,9136) = 41687568