What is the Least Common Multiple of 24361 and 24381?

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 24361 and 24381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24361 and 24381, than apply into the LCM equation.

GCF(24361,24381) = 1
LCM(24361,24381) = ( 24361 × 24381) / 1
LCM(24361,24381) = 593945541 / 1
LCM(24361,24381) = 593945541

Least Common Multiple (LCM) of 24361 and 24381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24361 and 24381. First we will calculate the prime factors of 24361 and 24381.

Prime Factorization of 24361

Prime Factorization of 24381

Now multiplying the highest exponent prime factors to calculate the LCM of 24361 and 24381.

LCM(24361,24381) = 17¹ × 1433¹ × 3⁴ × 7¹ × 43¹
LCM(24361,24381) = 593945541