What is the Least Common Multiple of 16650 and 16656?

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 16656 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 16656, than apply into the LCM equation.

GCF(16650,16656) = 6
LCM(16650,16656) = ( 16650 × 16656) / 6
LCM(16650,16656) = 277322400 / 6
LCM(16650,16656) = 46220400

Least Common Multiple (LCM) of 16650 and 16656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16650 and 16656. First we will calculate the prime factors of 16650 and 16656.

Prime Factorization of 16650

Prime Factorization of 16656

Now multiplying the highest exponent prime factors to calculate the LCM of 16650 and 16656.

LCM(16650,16656) = 2⁴ × 3² × 5² × 37¹ × 347¹
LCM(16650,16656) = 46220400