What is the Least Common Multiple of 27138 and 27147?

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 27138 and 27147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27138 and 27147, than apply into the LCM equation.

GCF(27138,27147) = 3
LCM(27138,27147) = ( 27138 × 27147) / 3
LCM(27138,27147) = 736715286 / 3
LCM(27138,27147) = 245571762

Least Common Multiple (LCM) of 27138 and 27147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27138 and 27147. First we will calculate the prime factors of 27138 and 27147.

Prime Factorization of 27138

Prime Factorization of 27147

Now multiplying the highest exponent prime factors to calculate the LCM of 27138 and 27147.

LCM(27138,27147) = 2¹ × 3¹ × 4523¹ × 9049¹
LCM(27138,27147) = 245571762