What is the Least Common Multiple of 16785 and 16794?

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 16794 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 16794, than apply into the LCM equation.

GCF(16785,16794) = 9
LCM(16785,16794) = ( 16785 × 16794) / 9
LCM(16785,16794) = 281887290 / 9
LCM(16785,16794) = 31320810

Least Common Multiple (LCM) of 16785 and 16794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16785 and 16794. First we will calculate the prime factors of 16785 and 16794.

Prime Factorization of 16785

Prime Factorization of 16794

Now multiplying the highest exponent prime factors to calculate the LCM of 16785 and 16794.

LCM(16785,16794) = 3³ × 5¹ × 373¹ × 2¹ × 311¹
LCM(16785,16794) = 31320810