What is the Least Common Multiple of 16785 and 16789?

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 16789 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 16789, than apply into the LCM equation.

GCF(16785,16789) = 1
LCM(16785,16789) = ( 16785 × 16789) / 1
LCM(16785,16789) = 281803365 / 1
LCM(16785,16789) = 281803365

Least Common Multiple (LCM) of 16785 and 16789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16785 and 16789. First we will calculate the prime factors of 16785 and 16789.

Prime Factorization of 16785

Prime Factorization of 16789

Now multiplying the highest exponent prime factors to calculate the LCM of 16785 and 16789.

LCM(16785,16789) = 3² × 5¹ × 373¹ × 103¹ × 163¹
LCM(16785,16789) = 281803365