What is the Least Common Multiple of 16745 and 16762?

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 16762 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 16762, than apply into the LCM equation.

GCF(16745,16762) = 17
LCM(16745,16762) = ( 16745 × 16762) / 17
LCM(16745,16762) = 280679690 / 17
LCM(16745,16762) = 16510570

Least Common Multiple (LCM) of 16745 and 16762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16745 and 16762. First we will calculate the prime factors of 16745 and 16762.

Prime Factorization of 16745

Prime Factorization of 16762

Now multiplying the highest exponent prime factors to calculate the LCM of 16745 and 16762.

LCM(16745,16762) = 5¹ × 17² × 197¹ × 2¹ × 29¹
LCM(16745,16762) = 16510570