What is the Least Common Multiple of 72304 and 72315?

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 72304 and 72315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72304 and 72315, than apply into the LCM equation.

GCF(72304,72315) = 1
LCM(72304,72315) = ( 72304 × 72315) / 1
LCM(72304,72315) = 5228663760 / 1
LCM(72304,72315) = 5228663760

Least Common Multiple (LCM) of 72304 and 72315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72304 and 72315. First we will calculate the prime factors of 72304 and 72315.

Prime Factorization of 72304

Prime Factorization of 72315

Now multiplying the highest exponent prime factors to calculate the LCM of 72304 and 72315.

LCM(72304,72315) = 2⁴ × 4519¹ × 3² × 5¹ × 1607¹
LCM(72304,72315) = 5228663760