What is the Least Common Multiple of 7329 and 7344?

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 7329 and 7344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7329 and 7344, than apply into the LCM equation.

GCF(7329,7344) = 3
LCM(7329,7344) = ( 7329 × 7344) / 3
LCM(7329,7344) = 53824176 / 3
LCM(7329,7344) = 17941392

Least Common Multiple (LCM) of 7329 and 7344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7329 and 7344. First we will calculate the prime factors of 7329 and 7344.

Prime Factorization of 7329

Prime Factorization of 7344

Now multiplying the highest exponent prime factors to calculate the LCM of 7329 and 7344.

LCM(7329,7344) = 3³ × 7¹ × 349¹ × 2⁴ × 17¹
LCM(7329,7344) = 17941392