What is the Least Common Multiple of 9150 and 9164?

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 9150 and 9164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9150 and 9164, than apply into the LCM equation.

GCF(9150,9164) = 2
LCM(9150,9164) = ( 9150 × 9164) / 2
LCM(9150,9164) = 83850600 / 2
LCM(9150,9164) = 41925300

Least Common Multiple (LCM) of 9150 and 9164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9150 and 9164. First we will calculate the prime factors of 9150 and 9164.

Prime Factorization of 9150

Prime Factorization of 9164

Now multiplying the highest exponent prime factors to calculate the LCM of 9150 and 9164.

LCM(9150,9164) = 2² × 3¹ × 5² × 61¹ × 29¹ × 79¹
LCM(9150,9164) = 41925300