What is the Least Common Multiple of 9315 and 9335?

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 9315 and 9335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9315 and 9335, than apply into the LCM equation.

GCF(9315,9335) = 5
LCM(9315,9335) = ( 9315 × 9335) / 5
LCM(9315,9335) = 86955525 / 5
LCM(9315,9335) = 17391105

Least Common Multiple (LCM) of 9315 and 9335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9315 and 9335. First we will calculate the prime factors of 9315 and 9335.

Prime Factorization of 9315

Prime Factorization of 9335

Now multiplying the highest exponent prime factors to calculate the LCM of 9315 and 9335.

LCM(9315,9335) = 3⁴ × 5¹ × 23¹ × 1867¹
LCM(9315,9335) = 17391105