What is the Least Common Multiple of 27480 and 27500?

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 27480 and 27500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27480 and 27500, than apply into the LCM equation.

GCF(27480,27500) = 20
LCM(27480,27500) = ( 27480 × 27500) / 20
LCM(27480,27500) = 755700000 / 20
LCM(27480,27500) = 37785000

Least Common Multiple (LCM) of 27480 and 27500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27480 and 27500. First we will calculate the prime factors of 27480 and 27500.

Prime Factorization of 27480

Prime Factorization of 27500

Now multiplying the highest exponent prime factors to calculate the LCM of 27480 and 27500.

LCM(27480,27500) = 2³ × 3¹ × 5⁴ × 229¹ × 11¹
LCM(27480,27500) = 37785000