What is the Least Common Multiple of 6318 and 6334?

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 6318 and 6334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6318 and 6334, than apply into the LCM equation.

GCF(6318,6334) = 2
LCM(6318,6334) = ( 6318 × 6334) / 2
LCM(6318,6334) = 40018212 / 2
LCM(6318,6334) = 20009106

Least Common Multiple (LCM) of 6318 and 6334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6318 and 6334. First we will calculate the prime factors of 6318 and 6334.

Prime Factorization of 6318

Prime Factorization of 6334

Now multiplying the highest exponent prime factors to calculate the LCM of 6318 and 6334.

LCM(6318,6334) = 2¹ × 3⁵ × 13¹ × 3167¹
LCM(6318,6334) = 20009106