What is the Least Common Multiple of 6324 and 6342?

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 6342 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 6342, than apply into the LCM equation.

GCF(6324,6342) = 6
LCM(6324,6342) = ( 6324 × 6342) / 6
LCM(6324,6342) = 40106808 / 6
LCM(6324,6342) = 6684468

Least Common Multiple (LCM) of 6324 and 6342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6324 and 6342. First we will calculate the prime factors of 6324 and 6342.

Prime Factorization of 6324

Prime Factorization of 6342

Now multiplying the highest exponent prime factors to calculate the LCM of 6324 and 6342.

LCM(6324,6342) = 2² × 3¹ × 17¹ × 31¹ × 7¹ × 151¹
LCM(6324,6342) = 6684468