What is the Least Common Multiple of 16650 and 16658?

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 16650 and 16658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16650 and 16658, than apply into the LCM equation.

GCF(16650,16658) = 2
LCM(16650,16658) = ( 16650 × 16658) / 2
LCM(16650,16658) = 277355700 / 2
LCM(16650,16658) = 138677850

Least Common Multiple (LCM) of 16650 and 16658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16650 and 16658. First we will calculate the prime factors of 16650 and 16658.

Prime Factorization of 16650

Prime Factorization of 16658

Now multiplying the highest exponent prime factors to calculate the LCM of 16650 and 16658.

LCM(16650,16658) = 2¹ × 3² × 5² × 37¹ × 8329¹
LCM(16650,16658) = 138677850