What is the Least Common Multiple of 9135 and 9149?

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 9149 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 9149, than apply into the LCM equation.

GCF(9135,9149) = 7
LCM(9135,9149) = ( 9135 × 9149) / 7
LCM(9135,9149) = 83576115 / 7
LCM(9135,9149) = 11939445

Least Common Multiple (LCM) of 9135 and 9149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9135 and 9149. First we will calculate the prime factors of 9135 and 9149.

Prime Factorization of 9135

Prime Factorization of 9149

Now multiplying the highest exponent prime factors to calculate the LCM of 9135 and 9149.

LCM(9135,9149) = 3² × 5¹ × 7¹ × 29¹ × 1307¹
LCM(9135,9149) = 11939445