What is the Least Common Multiple of 16785 and 16804?

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 16804 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 16804, than apply into the LCM equation.

GCF(16785,16804) = 1
LCM(16785,16804) = ( 16785 × 16804) / 1
LCM(16785,16804) = 282055140 / 1
LCM(16785,16804) = 282055140

Least Common Multiple (LCM) of 16785 and 16804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16785 and 16804. First we will calculate the prime factors of 16785 and 16804.

Prime Factorization of 16785

Prime Factorization of 16804

Now multiplying the highest exponent prime factors to calculate the LCM of 16785 and 16804.

LCM(16785,16804) = 3² × 5¹ × 373¹ × 2² × 4201¹
LCM(16785,16804) = 282055140