What is the Least Common Multiple of 24407 and 24423?

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 24407 and 24423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24407 and 24423, than apply into the LCM equation.

GCF(24407,24423) = 1
LCM(24407,24423) = ( 24407 × 24423) / 1
LCM(24407,24423) = 596092161 / 1
LCM(24407,24423) = 596092161

Least Common Multiple (LCM) of 24407 and 24423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24407 and 24423. First we will calculate the prime factors of 24407 and 24423.

Prime Factorization of 24407

Prime Factorization of 24423

Now multiplying the highest exponent prime factors to calculate the LCM of 24407 and 24423.

LCM(24407,24423) = 24407¹ × 3¹ × 7¹ × 1163¹
LCM(24407,24423) = 596092161