What is the Least Common Multiple of 24231 and 24237?

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 24231 and 24237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24231 and 24237, than apply into the LCM equation.

GCF(24231,24237) = 3
LCM(24231,24237) = ( 24231 × 24237) / 3
LCM(24231,24237) = 587286747 / 3
LCM(24231,24237) = 195762249

Least Common Multiple (LCM) of 24231 and 24237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24231 and 24237. First we will calculate the prime factors of 24231 and 24237.

Prime Factorization of 24231

Prime Factorization of 24237

Now multiplying the highest exponent prime factors to calculate the LCM of 24231 and 24237.

LCM(24231,24237) = 3² × 41¹ × 197¹ × 2693¹
LCM(24231,24237) = 195762249