What is the Least Common Multiple of 24085 and 24102?

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 24085 and 24102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24085 and 24102, than apply into the LCM equation.

GCF(24085,24102) = 1
LCM(24085,24102) = ( 24085 × 24102) / 1
LCM(24085,24102) = 580496670 / 1
LCM(24085,24102) = 580496670

Least Common Multiple (LCM) of 24085 and 24102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24085 and 24102. First we will calculate the prime factors of 24085 and 24102.

Prime Factorization of 24085

Prime Factorization of 24102

Now multiplying the highest exponent prime factors to calculate the LCM of 24085 and 24102.

LCM(24085,24102) = 5¹ × 4817¹ × 2¹ × 3² × 13¹ × 103¹
LCM(24085,24102) = 580496670