What is the Least Common Multiple of 7296 and 7315?

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 7296 and 7315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7296 and 7315, than apply into the LCM equation.

GCF(7296,7315) = 19
LCM(7296,7315) = ( 7296 × 7315) / 19
LCM(7296,7315) = 53370240 / 19
LCM(7296,7315) = 2808960

Least Common Multiple (LCM) of 7296 and 7315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7296 and 7315. First we will calculate the prime factors of 7296 and 7315.

Prime Factorization of 7296

Prime Factorization of 7315

Now multiplying the highest exponent prime factors to calculate the LCM of 7296 and 7315.

LCM(7296,7315) = 2⁷ × 3¹ × 19¹ × 5¹ × 7¹ × 11¹
LCM(7296,7315) = 2808960