What is the Least Common Multiple of 16317 and 16337?

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 16317 and 16337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16317 and 16337, than apply into the LCM equation.

GCF(16317,16337) = 1
LCM(16317,16337) = ( 16317 × 16337) / 1
LCM(16317,16337) = 266570829 / 1
LCM(16317,16337) = 266570829

Least Common Multiple (LCM) of 16317 and 16337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16317 and 16337. First we will calculate the prime factors of 16317 and 16337.

Prime Factorization of 16317

Prime Factorization of 16337

Now multiplying the highest exponent prime factors to calculate the LCM of 16317 and 16337.

LCM(16317,16337) = 3² × 7² × 37¹ × 17¹ × 31²
LCM(16317,16337) = 266570829