What is the Least Common Multiple of 24027 and 24036?

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 24027 and 24036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24027 and 24036, than apply into the LCM equation.

GCF(24027,24036) = 3
LCM(24027,24036) = ( 24027 × 24036) / 3
LCM(24027,24036) = 577512972 / 3
LCM(24027,24036) = 192504324

Least Common Multiple (LCM) of 24027 and 24036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24027 and 24036. First we will calculate the prime factors of 24027 and 24036.

Prime Factorization of 24027

Prime Factorization of 24036

Now multiplying the highest exponent prime factors to calculate the LCM of 24027 and 24036.

LCM(24027,24036) = 3¹ × 8009¹ × 2² × 2003¹
LCM(24027,24036) = 192504324