What is the Least Common Multiple of 27489 and 27498?

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 27498 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 27498, than apply into the LCM equation.

GCF(27489,27498) = 3
LCM(27489,27498) = ( 27489 × 27498) / 3
LCM(27489,27498) = 755892522 / 3
LCM(27489,27498) = 251964174

Least Common Multiple (LCM) of 27489 and 27498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27489 and 27498. First we will calculate the prime factors of 27489 and 27498.

Prime Factorization of 27489

Prime Factorization of 27498

Now multiplying the highest exponent prime factors to calculate the LCM of 27489 and 27498.

LCM(27489,27498) = 3¹ × 7² × 11¹ × 17¹ × 2¹ × 4583¹
LCM(27489,27498) = 251964174