What is the Least Common Multiple of 24116 and 24125?

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 24116 and 24125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24116 and 24125, than apply into the LCM equation.

GCF(24116,24125) = 1
LCM(24116,24125) = ( 24116 × 24125) / 1
LCM(24116,24125) = 581798500 / 1
LCM(24116,24125) = 581798500

Least Common Multiple (LCM) of 24116 and 24125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24116 and 24125. First we will calculate the prime factors of 24116 and 24125.

Prime Factorization of 24116

Prime Factorization of 24125

Now multiplying the highest exponent prime factors to calculate the LCM of 24116 and 24125.

LCM(24116,24125) = 2² × 6029¹ × 5³ × 193¹
LCM(24116,24125) = 581798500