What is the Least Common Multiple of 24324 and 24336?

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 24336 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 24336, than apply into the LCM equation.

GCF(24324,24336) = 12
LCM(24324,24336) = ( 24324 × 24336) / 12
LCM(24324,24336) = 591948864 / 12
LCM(24324,24336) = 49329072

Least Common Multiple (LCM) of 24324 and 24336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24324 and 24336. First we will calculate the prime factors of 24324 and 24336.

Prime Factorization of 24324

Prime Factorization of 24336

Now multiplying the highest exponent prime factors to calculate the LCM of 24324 and 24336.

LCM(24324,24336) = 2⁴ × 3² × 2027¹ × 13²
LCM(24324,24336) = 49329072