What is the Least Common Multiple of 24324 and 24334?

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 24324 and 24334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24324 and 24334, than apply into the LCM equation.

GCF(24324,24334) = 2
LCM(24324,24334) = ( 24324 × 24334) / 2
LCM(24324,24334) = 591900216 / 2
LCM(24324,24334) = 295950108

Least Common Multiple (LCM) of 24324 and 24334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24324 and 24334. First we will calculate the prime factors of 24324 and 24334.

Prime Factorization of 24324

Prime Factorization of 24334

Now multiplying the highest exponent prime factors to calculate the LCM of 24324 and 24334.

LCM(24324,24334) = 2² × 3¹ × 2027¹ × 23³
LCM(24324,24334) = 295950108