What is the Least Common Multiple of 24257 and 24267?

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 24257 and 24267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24257 and 24267, than apply into the LCM equation.

GCF(24257,24267) = 1
LCM(24257,24267) = ( 24257 × 24267) / 1
LCM(24257,24267) = 588644619 / 1
LCM(24257,24267) = 588644619

Least Common Multiple (LCM) of 24257 and 24267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24257 and 24267. First we will calculate the prime factors of 24257 and 24267.

Prime Factorization of 24257

Prime Factorization of 24267

Now multiplying the highest exponent prime factors to calculate the LCM of 24257 and 24267.

LCM(24257,24267) = 127¹ × 191¹ × 3¹ × 8089¹
LCM(24257,24267) = 588644619