What is the Least Common Multiple of 24315 and 24335?

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 24315 and 24335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24315 and 24335, than apply into the LCM equation.

GCF(24315,24335) = 5
LCM(24315,24335) = ( 24315 × 24335) / 5
LCM(24315,24335) = 591705525 / 5
LCM(24315,24335) = 118341105

Least Common Multiple (LCM) of 24315 and 24335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24315 and 24335. First we will calculate the prime factors of 24315 and 24335.

Prime Factorization of 24315

Prime Factorization of 24335

Now multiplying the highest exponent prime factors to calculate the LCM of 24315 and 24335.

LCM(24315,24335) = 3¹ × 5¹ × 1621¹ × 31¹ × 157¹
LCM(24315,24335) = 118341105