What is the Least Common Multiple of 27360 and 27375?

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 27360 and 27375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27360 and 27375, than apply into the LCM equation.

GCF(27360,27375) = 15
LCM(27360,27375) = ( 27360 × 27375) / 15
LCM(27360,27375) = 748980000 / 15
LCM(27360,27375) = 49932000

Least Common Multiple (LCM) of 27360 and 27375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27360 and 27375. First we will calculate the prime factors of 27360 and 27375.

Prime Factorization of 27360

Prime Factorization of 27375

Now multiplying the highest exponent prime factors to calculate the LCM of 27360 and 27375.

LCM(27360,27375) = 2⁵ × 3² × 5³ × 19¹ × 73¹
LCM(27360,27375) = 49932000