What is the Least Common Multiple of 9117 and 9132?

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 9117 and 9132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9117 and 9132, than apply into the LCM equation.

GCF(9117,9132) = 3
LCM(9117,9132) = ( 9117 × 9132) / 3
LCM(9117,9132) = 83256444 / 3
LCM(9117,9132) = 27752148

Least Common Multiple (LCM) of 9117 and 9132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9117 and 9132. First we will calculate the prime factors of 9117 and 9132.

Prime Factorization of 9117

Prime Factorization of 9132

Now multiplying the highest exponent prime factors to calculate the LCM of 9117 and 9132.

LCM(9117,9132) = 3² × 1013¹ × 2² × 761¹
LCM(9117,9132) = 27752148