What is the Least Common Multiple of 16659 and 16677?

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 16659 and 16677 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 16677, than apply into the LCM equation.

GCF(16659,16677) = 9
LCM(16659,16677) = ( 16659 × 16677) / 9
LCM(16659,16677) = 277822143 / 9
LCM(16659,16677) = 30869127

Least Common Multiple (LCM) of 16659 and 16677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16659 and 16677. First we will calculate the prime factors of 16659 and 16677.

Prime Factorization of 16659

Prime Factorization of 16677

Now multiplying the highest exponent prime factors to calculate the LCM of 16659 and 16677.

LCM(16659,16677) = 3³ × 617¹ × 17¹ × 109¹
LCM(16659,16677) = 30869127