What is the Least Common Multiple of 6324 and 6344?

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 6324 and 6344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6324 and 6344, than apply into the LCM equation.

GCF(6324,6344) = 4
LCM(6324,6344) = ( 6324 × 6344) / 4
LCM(6324,6344) = 40119456 / 4
LCM(6324,6344) = 10029864

Least Common Multiple (LCM) of 6324 and 6344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6324 and 6344. First we will calculate the prime factors of 6324 and 6344.

Prime Factorization of 6324

Prime Factorization of 6344

Now multiplying the highest exponent prime factors to calculate the LCM of 6324 and 6344.

LCM(6324,6344) = 2³ × 3¹ × 17¹ × 31¹ × 13¹ × 61¹
LCM(6324,6344) = 10029864