What is the Least Common Multiple of 27150 and 27165?

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 27150 and 27165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27150 and 27165, than apply into the LCM equation.

GCF(27150,27165) = 15
LCM(27150,27165) = ( 27150 × 27165) / 15
LCM(27150,27165) = 737529750 / 15
LCM(27150,27165) = 49168650

Least Common Multiple (LCM) of 27150 and 27165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27150 and 27165. First we will calculate the prime factors of 27150 and 27165.

Prime Factorization of 27150

Prime Factorization of 27165

Now multiplying the highest exponent prime factors to calculate the LCM of 27150 and 27165.

LCM(27150,27165) = 2¹ × 3¹ × 5² × 181¹ × 1811¹
LCM(27150,27165) = 49168650