What is the Least Common Multiple of 16646 and 16650?

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 16646 and 16650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16646 and 16650, than apply into the LCM equation.

GCF(16646,16650) = 2
LCM(16646,16650) = ( 16646 × 16650) / 2
LCM(16646,16650) = 277155900 / 2
LCM(16646,16650) = 138577950

Least Common Multiple (LCM) of 16646 and 16650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16646 and 16650. First we will calculate the prime factors of 16646 and 16650.

Prime Factorization of 16646

Prime Factorization of 16650

Now multiplying the highest exponent prime factors to calculate the LCM of 16646 and 16650.

LCM(16646,16650) = 2¹ × 7¹ × 29¹ × 41¹ × 3² × 5² × 37¹
LCM(16646,16650) = 138577950