What is the Least Common Multiple of 27120 and 27132?

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 27132 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 27132, than apply into the LCM equation.

GCF(27120,27132) = 12
LCM(27120,27132) = ( 27120 × 27132) / 12
LCM(27120,27132) = 735819840 / 12
LCM(27120,27132) = 61318320

Least Common Multiple (LCM) of 27120 and 27132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27120 and 27132. First we will calculate the prime factors of 27120 and 27132.

Prime Factorization of 27120

Prime Factorization of 27132

Now multiplying the highest exponent prime factors to calculate the LCM of 27120 and 27132.

LCM(27120,27132) = 2⁴ × 3¹ × 5¹ × 113¹ × 7¹ × 17¹ × 19¹
LCM(27120,27132) = 61318320