What is the Least Common Multiple of 27120 and 27135?

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 27120 and 27135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27120 and 27135, than apply into the LCM equation.

GCF(27120,27135) = 15
LCM(27120,27135) = ( 27120 × 27135) / 15
LCM(27120,27135) = 735901200 / 15
LCM(27120,27135) = 49060080

Least Common Multiple (LCM) of 27120 and 27135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27120 and 27135. First we will calculate the prime factors of 27120 and 27135.

Prime Factorization of 27120

Prime Factorization of 27135

Now multiplying the highest exponent prime factors to calculate the LCM of 27120 and 27135.

LCM(27120,27135) = 2⁴ × 3⁴ × 5¹ × 113¹ × 67¹
LCM(27120,27135) = 49060080