What is the Least Common Multiple of 27024 and 27032?

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 27032 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 27032, than apply into the LCM equation.

GCF(27024,27032) = 8
LCM(27024,27032) = ( 27024 × 27032) / 8
LCM(27024,27032) = 730512768 / 8
LCM(27024,27032) = 91314096

Least Common Multiple (LCM) of 27024 and 27032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27024 and 27032. First we will calculate the prime factors of 27024 and 27032.

Prime Factorization of 27024

Prime Factorization of 27032

Now multiplying the highest exponent prime factors to calculate the LCM of 27024 and 27032.

LCM(27024,27032) = 2⁴ × 3¹ × 563¹ × 31¹ × 109¹
LCM(27024,27032) = 91314096