What is the Least Common Multiple of 16650 and 16665?

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 16665 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 16665, than apply into the LCM equation.

GCF(16650,16665) = 15
LCM(16650,16665) = ( 16650 × 16665) / 15
LCM(16650,16665) = 277472250 / 15
LCM(16650,16665) = 18498150

Least Common Multiple (LCM) of 16650 and 16665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16650 and 16665. First we will calculate the prime factors of 16650 and 16665.

Prime Factorization of 16650

Prime Factorization of 16665

Now multiplying the highest exponent prime factors to calculate the LCM of 16650 and 16665.

LCM(16650,16665) = 2¹ × 3² × 5² × 37¹ × 11¹ × 101¹
LCM(16650,16665) = 18498150