What is the Least Common Multiple of 16506 and 16518?

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 16506 and 16518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16506 and 16518, than apply into the LCM equation.

GCF(16506,16518) = 6
LCM(16506,16518) = ( 16506 × 16518) / 6
LCM(16506,16518) = 272646108 / 6
LCM(16506,16518) = 45441018

Least Common Multiple (LCM) of 16506 and 16518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16506 and 16518. First we will calculate the prime factors of 16506 and 16518.

Prime Factorization of 16506

Prime Factorization of 16518

Now multiplying the highest exponent prime factors to calculate the LCM of 16506 and 16518.

LCM(16506,16518) = 2¹ × 3² × 7¹ × 131¹ × 2753¹
LCM(16506,16518) = 45441018