What is the Least Common Multiple of 27489 and 27502?

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 27489 and 27502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27489 and 27502, than apply into the LCM equation.

GCF(27489,27502) = 1
LCM(27489,27502) = ( 27489 × 27502) / 1
LCM(27489,27502) = 756002478 / 1
LCM(27489,27502) = 756002478

Least Common Multiple (LCM) of 27489 and 27502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27489 and 27502. First we will calculate the prime factors of 27489 and 27502.

Prime Factorization of 27489

Prime Factorization of 27502

Now multiplying the highest exponent prime factors to calculate the LCM of 27489 and 27502.

LCM(27489,27502) = 3¹ × 7² × 11¹ × 17¹ × 2¹ × 13751¹
LCM(27489,27502) = 756002478