What is the Least Common Multiple of 7304 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 7304 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 7304 and 7315, than apply into the LCM equation.

GCF(7304,7315) = 11
LCM(7304,7315) = ( 7304 × 7315) / 11
LCM(7304,7315) = 53428760 / 11
LCM(7304,7315) = 4857160

Least Common Multiple (LCM) of 7304 and 7315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7304 and 7315. First we will calculate the prime factors of 7304 and 7315.

Prime Factorization of 7304

Prime Factorization of 7315

Now multiplying the highest exponent prime factors to calculate the LCM of 7304 and 7315.

LCM(7304,7315) = 2³ × 11¹ × 83¹ × 5¹ × 7¹ × 19¹
LCM(7304,7315) = 4857160