What is the Least Common Multiple of 27512 and 27530?

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 27512 and 27530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27512 and 27530, than apply into the LCM equation.

GCF(27512,27530) = 2
LCM(27512,27530) = ( 27512 × 27530) / 2
LCM(27512,27530) = 757405360 / 2
LCM(27512,27530) = 378702680

Least Common Multiple (LCM) of 27512 and 27530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27512 and 27530. First we will calculate the prime factors of 27512 and 27530.

Prime Factorization of 27512

Prime Factorization of 27530

Now multiplying the highest exponent prime factors to calculate the LCM of 27512 and 27530.

LCM(27512,27530) = 2³ × 19¹ × 181¹ × 5¹ × 2753¹
LCM(27512,27530) = 378702680