What is the Least Common Multiple of 16641 and 16659?

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 16641 and 16659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16641 and 16659, than apply into the LCM equation.

GCF(16641,16659) = 9
LCM(16641,16659) = ( 16641 × 16659) / 9
LCM(16641,16659) = 277222419 / 9
LCM(16641,16659) = 30802491

Least Common Multiple (LCM) of 16641 and 16659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16641 and 16659. First we will calculate the prime factors of 16641 and 16659.

Prime Factorization of 16641

Prime Factorization of 16659

Now multiplying the highest exponent prime factors to calculate the LCM of 16641 and 16659.

LCM(16641,16659) = 3³ × 43² × 617¹
LCM(16641,16659) = 30802491