GCF and LCM Calculator Logo

What is the Least Common Multiple of 16659 and 16676?

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 (LCM) of 16659 and 16676 is 277805484.

LCM(16659,16676) = 277805484

LCM Calculator and
and

Least Common Multiple of 16659 and 16676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16659 and 16676, than apply into the LCM equation.

GCF(16659,16676) = 1
LCM(16659,16676) = ( 16659 × 16676) / 1
LCM(16659,16676) = 277805484 / 1
LCM(16659,16676) = 277805484

Least Common Multiple (LCM) of 16659 and 16676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16659 and 16676. First we will calculate the prime factors of 16659 and 16676.

Prime Factorization of 16659

Prime factors of 16659 are 3, 617. Prime factorization of 16659 in exponential form is:

16659 = 33 × 6171

Prime Factorization of 16676

Prime factors of 16676 are 2, 11, 379. Prime factorization of 16676 in exponential form is:

16676 = 22 × 111 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 16659 and 16676.

LCM(16659,16676) = 33 × 6171 × 22 × 111 × 3791
LCM(16659,16676) = 277805484