What is the Least Common Multiple of 16704 and 16721?

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 16721 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 16721, than apply into the LCM equation.

GCF(16704,16721) = 1
LCM(16704,16721) = ( 16704 × 16721) / 1
LCM(16704,16721) = 279307584 / 1
LCM(16704,16721) = 279307584

Least Common Multiple (LCM) of 16704 and 16721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16704 and 16721. First we will calculate the prime factors of 16704 and 16721.

Prime Factorization of 16704

Prime Factorization of 16721

Now multiplying the highest exponent prime factors to calculate the LCM of 16704 and 16721.

LCM(16704,16721) = 2⁶ × 3² × 29¹ × 23¹ × 727¹
LCM(16704,16721) = 279307584