What is the Least Common Multiple of 6348 and 6368?

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 6348 and 6368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6348 and 6368, than apply into the LCM equation.

GCF(6348,6368) = 4
LCM(6348,6368) = ( 6348 × 6368) / 4
LCM(6348,6368) = 40424064 / 4
LCM(6348,6368) = 10106016

Least Common Multiple (LCM) of 6348 and 6368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6348 and 6368. First we will calculate the prime factors of 6348 and 6368.

Prime Factorization of 6348

Prime Factorization of 6368

Now multiplying the highest exponent prime factors to calculate the LCM of 6348 and 6368.

LCM(6348,6368) = 2⁵ × 3¹ × 23² × 199¹
LCM(6348,6368) = 10106016