What is the Least Common Multiple of 14319 and 14337?

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 14319 and 14337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14319 and 14337, than apply into the LCM equation.

GCF(14319,14337) = 9
LCM(14319,14337) = ( 14319 × 14337) / 9
LCM(14319,14337) = 205291503 / 9
LCM(14319,14337) = 22810167

Least Common Multiple (LCM) of 14319 and 14337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14319 and 14337. First we will calculate the prime factors of 14319 and 14337.

Prime Factorization of 14319

Prime Factorization of 14337

Now multiplying the highest exponent prime factors to calculate the LCM of 14319 and 14337.

LCM(14319,14337) = 3⁵ × 37¹ × 43¹ × 59¹
LCM(14319,14337) = 22810167