What is the Least Common Multiple of 9085 and 9100?

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 9085 and 9100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9085 and 9100, than apply into the LCM equation.

GCF(9085,9100) = 5
LCM(9085,9100) = ( 9085 × 9100) / 5
LCM(9085,9100) = 82673500 / 5
LCM(9085,9100) = 16534700

Least Common Multiple (LCM) of 9085 and 9100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9085 and 9100. First we will calculate the prime factors of 9085 and 9100.

Prime Factorization of 9085

Prime Factorization of 9100

Now multiplying the highest exponent prime factors to calculate the LCM of 9085 and 9100.

LCM(9085,9100) = 5² × 23¹ × 79¹ × 2² × 7¹ × 13¹
LCM(9085,9100) = 16534700