What is the Least Common Multiple of 24138 and 24149?

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 24138 and 24149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24138 and 24149, than apply into the LCM equation.

GCF(24138,24149) = 1
LCM(24138,24149) = ( 24138 × 24149) / 1
LCM(24138,24149) = 582908562 / 1
LCM(24138,24149) = 582908562

Least Common Multiple (LCM) of 24138 and 24149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24138 and 24149. First we will calculate the prime factors of 24138 and 24149.

Prime Factorization of 24138

Prime Factorization of 24149

Now multiplying the highest exponent prime factors to calculate the LCM of 24138 and 24149.

LCM(24138,24149) = 2¹ × 3⁴ × 149¹ × 19¹ × 31¹ × 41¹
LCM(24138,24149) = 582908562