What is the Least Common Multiple of 2314 and 2327?

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 2314 and 2327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2314 and 2327, than apply into the LCM equation.

GCF(2314,2327) = 13
LCM(2314,2327) = ( 2314 × 2327) / 13
LCM(2314,2327) = 5384678 / 13
LCM(2314,2327) = 414206

Least Common Multiple (LCM) of 2314 and 2327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2314 and 2327. First we will calculate the prime factors of 2314 and 2327.

Prime Factorization of 2314

Prime Factorization of 2327

Now multiplying the highest exponent prime factors to calculate the LCM of 2314 and 2327.

LCM(2314,2327) = 2¹ × 13¹ × 89¹ × 179¹
LCM(2314,2327) = 414206