What is the Least Common Multiple of 9138 and 9147?

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 9138 and 9147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9138 and 9147, than apply into the LCM equation.

GCF(9138,9147) = 3
LCM(9138,9147) = ( 9138 × 9147) / 3
LCM(9138,9147) = 83585286 / 3
LCM(9138,9147) = 27861762

Least Common Multiple (LCM) of 9138 and 9147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9138 and 9147. First we will calculate the prime factors of 9138 and 9147.

Prime Factorization of 9138

Prime Factorization of 9147

Now multiplying the highest exponent prime factors to calculate the LCM of 9138 and 9147.

LCM(9138,9147) = 2¹ × 3¹ × 1523¹ × 3049¹
LCM(9138,9147) = 27861762