What is the Least Common Multiple of 2319 and 2337?

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 2319 and 2337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2319 and 2337, than apply into the LCM equation.

GCF(2319,2337) = 3
LCM(2319,2337) = ( 2319 × 2337) / 3
LCM(2319,2337) = 5419503 / 3
LCM(2319,2337) = 1806501

Least Common Multiple (LCM) of 2319 and 2337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2319 and 2337. First we will calculate the prime factors of 2319 and 2337.

Prime Factorization of 2319

Prime Factorization of 2337

Now multiplying the highest exponent prime factors to calculate the LCM of 2319 and 2337.

LCM(2319,2337) = 3¹ × 773¹ × 19¹ × 41¹
LCM(2319,2337) = 1806501