What is the Least Common Multiple of 16724 and 16736?

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 16736 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 16736, than apply into the LCM equation.

GCF(16724,16736) = 4
LCM(16724,16736) = ( 16724 × 16736) / 4
LCM(16724,16736) = 279892864 / 4
LCM(16724,16736) = 69973216

Least Common Multiple (LCM) of 16724 and 16736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16724 and 16736. First we will calculate the prime factors of 16724 and 16736.

Prime Factorization of 16724

Prime Factorization of 16736

Now multiplying the highest exponent prime factors to calculate the LCM of 16724 and 16736.

LCM(16724,16736) = 2⁵ × 37¹ × 113¹ × 523¹
LCM(16724,16736) = 69973216