What is the Least Common Multiple of 21489 and 21498?

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 21489 and 21498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21489 and 21498, than apply into the LCM equation.

GCF(21489,21498) = 3
LCM(21489,21498) = ( 21489 × 21498) / 3
LCM(21489,21498) = 461970522 / 3
LCM(21489,21498) = 153990174

Least Common Multiple (LCM) of 21489 and 21498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21489 and 21498. First we will calculate the prime factors of 21489 and 21498.

Prime Factorization of 21489

Prime Factorization of 21498

Now multiplying the highest exponent prime factors to calculate the LCM of 21489 and 21498.

LCM(21489,21498) = 3¹ × 13¹ × 19¹ × 29¹ × 2¹ × 3583¹
LCM(21489,21498) = 153990174