What is the Least Common Multiple of 7284 and 7296?

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 7296 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 7296, than apply into the LCM equation.

GCF(7284,7296) = 12
LCM(7284,7296) = ( 7284 × 7296) / 12
LCM(7284,7296) = 53144064 / 12
LCM(7284,7296) = 4428672

Least Common Multiple (LCM) of 7284 and 7296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7284 and 7296. First we will calculate the prime factors of 7284 and 7296.

Prime Factorization of 7284

Prime Factorization of 7296

Now multiplying the highest exponent prime factors to calculate the LCM of 7284 and 7296.

LCM(7284,7296) = 2⁷ × 3¹ × 607¹ × 19¹
LCM(7284,7296) = 4428672