What is the Least Common Multiple of 27024 and 27036?

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 27024 and 27036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27024 and 27036, than apply into the LCM equation.

GCF(27024,27036) = 12
LCM(27024,27036) = ( 27024 × 27036) / 12
LCM(27024,27036) = 730620864 / 12
LCM(27024,27036) = 60885072

Least Common Multiple (LCM) of 27024 and 27036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27024 and 27036. First we will calculate the prime factors of 27024 and 27036.

Prime Factorization of 27024

Prime Factorization of 27036

Now multiplying the highest exponent prime factors to calculate the LCM of 27024 and 27036.

LCM(27024,27036) = 2⁴ × 3² × 563¹ × 751¹
LCM(27024,27036) = 60885072