What is the Least Common Multiple of 16704 and 16724?

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 16704 and 16724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16704 and 16724, than apply into the LCM equation.

GCF(16704,16724) = 4
LCM(16704,16724) = ( 16704 × 16724) / 4
LCM(16704,16724) = 279357696 / 4
LCM(16704,16724) = 69839424

Least Common Multiple (LCM) of 16704 and 16724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16704 and 16724. First we will calculate the prime factors of 16704 and 16724.

Prime Factorization of 16704

Prime Factorization of 16724

Now multiplying the highest exponent prime factors to calculate the LCM of 16704 and 16724.

LCM(16704,16724) = 2⁶ × 3² × 29¹ × 37¹ × 113¹
LCM(16704,16724) = 69839424