What is the Least Common Multiple of 24285 and 24296?

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 24285 and 24296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24285 and 24296, than apply into the LCM equation.

GCF(24285,24296) = 1
LCM(24285,24296) = ( 24285 × 24296) / 1
LCM(24285,24296) = 590028360 / 1
LCM(24285,24296) = 590028360

Least Common Multiple (LCM) of 24285 and 24296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24285 and 24296. First we will calculate the prime factors of 24285 and 24296.

Prime Factorization of 24285

Prime Factorization of 24296

Now multiplying the highest exponent prime factors to calculate the LCM of 24285 and 24296.

LCM(24285,24296) = 3¹ × 5¹ × 1619¹ × 2³ × 3037¹
LCM(24285,24296) = 590028360