What is the Least Common Multiple of 7284 and 7288?

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 7284 and 7288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7284 and 7288, than apply into the LCM equation.

GCF(7284,7288) = 4
LCM(7284,7288) = ( 7284 × 7288) / 4
LCM(7284,7288) = 53085792 / 4
LCM(7284,7288) = 13271448

Least Common Multiple (LCM) of 7284 and 7288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7284 and 7288. First we will calculate the prime factors of 7284 and 7288.

Prime Factorization of 7284

Prime Factorization of 7288

Now multiplying the highest exponent prime factors to calculate the LCM of 7284 and 7288.

LCM(7284,7288) = 2³ × 3¹ × 607¹ × 911¹
LCM(7284,7288) = 13271448