What is the Least Common Multiple of 16745 and 16750?

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 16745 and 16750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16745 and 16750, than apply into the LCM equation.

GCF(16745,16750) = 5
LCM(16745,16750) = ( 16745 × 16750) / 5
LCM(16745,16750) = 280478750 / 5
LCM(16745,16750) = 56095750

Least Common Multiple (LCM) of 16745 and 16750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16745 and 16750. First we will calculate the prime factors of 16745 and 16750.

Prime Factorization of 16745

Prime Factorization of 16750

Now multiplying the highest exponent prime factors to calculate the LCM of 16745 and 16750.

LCM(16745,16750) = 5³ × 17¹ × 197¹ × 2¹ × 67¹
LCM(16745,16750) = 56095750