What is the Least Common Multiple of 9135 and 9142?

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 9135 and 9142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9135 and 9142, than apply into the LCM equation.

GCF(9135,9142) = 7
LCM(9135,9142) = ( 9135 × 9142) / 7
LCM(9135,9142) = 83512170 / 7
LCM(9135,9142) = 11930310

Least Common Multiple (LCM) of 9135 and 9142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9135 and 9142. First we will calculate the prime factors of 9135 and 9142.

Prime Factorization of 9135

Prime Factorization of 9142

Now multiplying the highest exponent prime factors to calculate the LCM of 9135 and 9142.

LCM(9135,9142) = 3² × 5¹ × 7¹ × 29¹ × 2¹ × 653¹
LCM(9135,9142) = 11930310