What is the Least Common Multiple of 9305 and 9315?

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 9305 and 9315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9305 and 9315, than apply into the LCM equation.

GCF(9305,9315) = 5
LCM(9305,9315) = ( 9305 × 9315) / 5
LCM(9305,9315) = 86676075 / 5
LCM(9305,9315) = 17335215

Least Common Multiple (LCM) of 9305 and 9315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9305 and 9315. First we will calculate the prime factors of 9305 and 9315.

Prime Factorization of 9305

Prime Factorization of 9315

Now multiplying the highest exponent prime factors to calculate the LCM of 9305 and 9315.

LCM(9305,9315) = 5¹ × 1861¹ × 3⁴ × 23¹
LCM(9305,9315) = 17335215