What is the Least Common Multiple of 16723 and 16737?

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 16723 and 16737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16723 and 16737, than apply into the LCM equation.

GCF(16723,16737) = 7
LCM(16723,16737) = ( 16723 × 16737) / 7
LCM(16723,16737) = 279892851 / 7
LCM(16723,16737) = 39984693

Least Common Multiple (LCM) of 16723 and 16737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16723 and 16737. First we will calculate the prime factors of 16723 and 16737.

Prime Factorization of 16723

Prime Factorization of 16737

Now multiplying the highest exponent prime factors to calculate the LCM of 16723 and 16737.

LCM(16723,16737) = 7¹ × 2389¹ × 3¹ × 797¹
LCM(16723,16737) = 39984693