What is the Least Common Multiple of 16597 and 16611?

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 16597 and 16611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16597 and 16611, than apply into the LCM equation.

GCF(16597,16611) = 7
LCM(16597,16611) = ( 16597 × 16611) / 7
LCM(16597,16611) = 275692767 / 7
LCM(16597,16611) = 39384681

Least Common Multiple (LCM) of 16597 and 16611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16597 and 16611. First we will calculate the prime factors of 16597 and 16611.

Prime Factorization of 16597

Prime Factorization of 16611

Now multiplying the highest exponent prime factors to calculate the LCM of 16597 and 16611.

LCM(16597,16611) = 7² × 2371¹ × 3¹ × 113¹
LCM(16597,16611) = 39384681