What is the Least Common Multiple of 8314 and 8334?

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 8314 and 8334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8314 and 8334, than apply into the LCM equation.

GCF(8314,8334) = 2
LCM(8314,8334) = ( 8314 × 8334) / 2
LCM(8314,8334) = 69288876 / 2
LCM(8314,8334) = 34644438

Least Common Multiple (LCM) of 8314 and 8334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8314 and 8334. First we will calculate the prime factors of 8314 and 8334.

Prime Factorization of 8314

Prime Factorization of 8334

Now multiplying the highest exponent prime factors to calculate the LCM of 8314 and 8334.

LCM(8314,8334) = 2¹ × 4157¹ × 3² × 463¹
LCM(8314,8334) = 34644438