What is the Least Common Multiple of 24104 and 24121?

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 24104 and 24121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24104 and 24121, than apply into the LCM equation.

GCF(24104,24121) = 1
LCM(24104,24121) = ( 24104 × 24121) / 1
LCM(24104,24121) = 581412584 / 1
LCM(24104,24121) = 581412584

Least Common Multiple (LCM) of 24104 and 24121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24104 and 24121. First we will calculate the prime factors of 24104 and 24121.

Prime Factorization of 24104

Prime Factorization of 24121

Now multiplying the highest exponent prime factors to calculate the LCM of 24104 and 24121.

LCM(24104,24121) = 2³ × 23¹ × 131¹ × 24121¹
LCM(24104,24121) = 581412584