What is the Least Common Multiple of 12314 and 12319?

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 12314 and 12319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12314 and 12319, than apply into the LCM equation.

GCF(12314,12319) = 1
LCM(12314,12319) = ( 12314 × 12319) / 1
LCM(12314,12319) = 151696166 / 1
LCM(12314,12319) = 151696166

Least Common Multiple (LCM) of 12314 and 12319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12314 and 12319. First we will calculate the prime factors of 12314 and 12319.

Prime Factorization of 12314

Prime Factorization of 12319

Now multiplying the highest exponent prime factors to calculate the LCM of 12314 and 12319.

LCM(12314,12319) = 2¹ × 47¹ × 131¹ × 97¹ × 127¹
LCM(12314,12319) = 151696166