What is the Least Common Multiple of 12314 and 12334?

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 12334 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 12334, than apply into the LCM equation.

GCF(12314,12334) = 2
LCM(12314,12334) = ( 12314 × 12334) / 2
LCM(12314,12334) = 151880876 / 2
LCM(12314,12334) = 75940438

Least Common Multiple (LCM) of 12314 and 12334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12314 and 12334. First we will calculate the prime factors of 12314 and 12334.

Prime Factorization of 12314

Prime Factorization of 12334

Now multiplying the highest exponent prime factors to calculate the LCM of 12314 and 12334.

LCM(12314,12334) = 2¹ × 47¹ × 131¹ × 7¹ × 881¹
LCM(12314,12334) = 75940438