What is the Least Common Multiple of 21589 and 21609?

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 21589 and 21609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21589 and 21609, than apply into the LCM equation.

GCF(21589,21609) = 1
LCM(21589,21609) = ( 21589 × 21609) / 1
LCM(21589,21609) = 466516701 / 1
LCM(21589,21609) = 466516701

Least Common Multiple (LCM) of 21589 and 21609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21589 and 21609. First we will calculate the prime factors of 21589 and 21609.

Prime Factorization of 21589

Prime Factorization of 21609

Now multiplying the highest exponent prime factors to calculate the LCM of 21589 and 21609.

LCM(21589,21609) = 21589¹ × 3² × 7⁴
LCM(21589,21609) = 466516701