What is the Least Common Multiple of 16724 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 16724 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 16724 and 16737, than apply into the LCM equation.

GCF(16724,16737) = 1
LCM(16724,16737) = ( 16724 × 16737) / 1
LCM(16724,16737) = 279909588 / 1
LCM(16724,16737) = 279909588

Least Common Multiple (LCM) of 16724 and 16737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16724 and 16737. First we will calculate the prime factors of 16724 and 16737.

Prime Factorization of 16724

Prime Factorization of 16737

Now multiplying the highest exponent prime factors to calculate the LCM of 16724 and 16737.

LCM(16724,16737) = 2² × 37¹ × 113¹ × 3¹ × 7¹ × 797¹
LCM(16724,16737) = 279909588