What is the Least Common Multiple of 24268 and 24287?

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 24268 and 24287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24268 and 24287, than apply into the LCM equation.

GCF(24268,24287) = 1
LCM(24268,24287) = ( 24268 × 24287) / 1
LCM(24268,24287) = 589396916 / 1
LCM(24268,24287) = 589396916

Least Common Multiple (LCM) of 24268 and 24287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24268 and 24287. First we will calculate the prime factors of 24268 and 24287.

Prime Factorization of 24268

Prime Factorization of 24287

Now multiplying the highest exponent prime factors to calculate the LCM of 24268 and 24287.

LCM(24268,24287) = 2² × 6067¹ × 149¹ × 163¹
LCM(24268,24287) = 589396916