What is the Least Common Multiple of 27465 and 27480?

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 27465 and 27480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27465 and 27480, than apply into the LCM equation.

GCF(27465,27480) = 15
LCM(27465,27480) = ( 27465 × 27480) / 15
LCM(27465,27480) = 754738200 / 15
LCM(27465,27480) = 50315880

Least Common Multiple (LCM) of 27465 and 27480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27465 and 27480. First we will calculate the prime factors of 27465 and 27480.

Prime Factorization of 27465

Prime Factorization of 27480

Now multiplying the highest exponent prime factors to calculate the LCM of 27465 and 27480.

LCM(27465,27480) = 3¹ × 5¹ × 1831¹ × 2³ × 229¹
LCM(27465,27480) = 50315880