What is the Least Common Multiple of 27030 and 27045?

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 27030 and 27045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27030 and 27045, than apply into the LCM equation.

GCF(27030,27045) = 15
LCM(27030,27045) = ( 27030 × 27045) / 15
LCM(27030,27045) = 731026350 / 15
LCM(27030,27045) = 48735090

Least Common Multiple (LCM) of 27030 and 27045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27030 and 27045. First we will calculate the prime factors of 27030 and 27045.

Prime Factorization of 27030

Prime Factorization of 27045

Now multiplying the highest exponent prime factors to calculate the LCM of 27030 and 27045.

LCM(27030,27045) = 2¹ × 3² × 5¹ × 17¹ × 53¹ × 601¹
LCM(27030,27045) = 48735090