What is the Least Common Multiple of 16721 and 16733?

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 16721 and 16733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16721 and 16733, than apply into the LCM equation.

GCF(16721,16733) = 1
LCM(16721,16733) = ( 16721 × 16733) / 1
LCM(16721,16733) = 279792493 / 1
LCM(16721,16733) = 279792493

Least Common Multiple (LCM) of 16721 and 16733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16721 and 16733. First we will calculate the prime factors of 16721 and 16733.

Prime Factorization of 16721

Prime Factorization of 16733

Now multiplying the highest exponent prime factors to calculate the LCM of 16721 and 16733.

LCM(16721,16733) = 23¹ × 727¹ × 29¹ × 577¹
LCM(16721,16733) = 279792493