What is the Least Common Multiple of 7344 and 7356?

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 7344 and 7356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7344 and 7356, than apply into the LCM equation.

GCF(7344,7356) = 12
LCM(7344,7356) = ( 7344 × 7356) / 12
LCM(7344,7356) = 54022464 / 12
LCM(7344,7356) = 4501872

Least Common Multiple (LCM) of 7344 and 7356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7344 and 7356. First we will calculate the prime factors of 7344 and 7356.

Prime Factorization of 7344

Prime Factorization of 7356

Now multiplying the highest exponent prime factors to calculate the LCM of 7344 and 7356.

LCM(7344,7356) = 2⁴ × 3³ × 17¹ × 613¹
LCM(7344,7356) = 4501872