What is the Least Common Multiple of 27024 and 27040?

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 27040 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 27040, than apply into the LCM equation.

GCF(27024,27040) = 16
LCM(27024,27040) = ( 27024 × 27040) / 16
LCM(27024,27040) = 730728960 / 16
LCM(27024,27040) = 45670560

Least Common Multiple (LCM) of 27024 and 27040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27024 and 27040. First we will calculate the prime factors of 27024 and 27040.

Prime Factorization of 27024

Prime Factorization of 27040

Now multiplying the highest exponent prime factors to calculate the LCM of 27024 and 27040.

LCM(27024,27040) = 2⁵ × 3¹ × 563¹ × 5¹ × 13²
LCM(27024,27040) = 45670560