What is the Least Common Multiple of 16785 and 16800?

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 16785 and 16800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16785 and 16800, than apply into the LCM equation.

GCF(16785,16800) = 15
LCM(16785,16800) = ( 16785 × 16800) / 15
LCM(16785,16800) = 281988000 / 15
LCM(16785,16800) = 18799200

Least Common Multiple (LCM) of 16785 and 16800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16785 and 16800. First we will calculate the prime factors of 16785 and 16800.

Prime Factorization of 16785

Prime Factorization of 16800

Now multiplying the highest exponent prime factors to calculate the LCM of 16785 and 16800.

LCM(16785,16800) = 3² × 5² × 373¹ × 2⁵ × 7¹
LCM(16785,16800) = 18799200