What is the Least Common Multiple of 6318 and 6338?

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 6338 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 6338, than apply into the LCM equation.

GCF(6318,6338) = 2
LCM(6318,6338) = ( 6318 × 6338) / 2
LCM(6318,6338) = 40043484 / 2
LCM(6318,6338) = 20021742

Least Common Multiple (LCM) of 6318 and 6338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6318 and 6338. First we will calculate the prime factors of 6318 and 6338.

Prime Factorization of 6318

Prime Factorization of 6338

Now multiplying the highest exponent prime factors to calculate the LCM of 6318 and 6338.

LCM(6318,6338) = 2¹ × 3⁵ × 13¹ × 3169¹
LCM(6318,6338) = 20021742