What is the Least Common Multiple of 16675 and 16680?

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 16675 and 16680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16675 and 16680, than apply into the LCM equation.

GCF(16675,16680) = 5
LCM(16675,16680) = ( 16675 × 16680) / 5
LCM(16675,16680) = 278139000 / 5
LCM(16675,16680) = 55627800

Least Common Multiple (LCM) of 16675 and 16680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16675 and 16680. First we will calculate the prime factors of 16675 and 16680.

Prime Factorization of 16675

Prime Factorization of 16680

Now multiplying the highest exponent prime factors to calculate the LCM of 16675 and 16680.

LCM(16675,16680) = 5² × 23¹ × 29¹ × 2³ × 3¹ × 139¹
LCM(16675,16680) = 55627800