What is the Least Common Multiple of 27432 and 27441?

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 27432 and 27441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27432 and 27441, than apply into the LCM equation.

GCF(27432,27441) = 9
LCM(27432,27441) = ( 27432 × 27441) / 9
LCM(27432,27441) = 752761512 / 9
LCM(27432,27441) = 83640168

Least Common Multiple (LCM) of 27432 and 27441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27432 and 27441. First we will calculate the prime factors of 27432 and 27441.

Prime Factorization of 27432

Prime Factorization of 27441

Now multiplying the highest exponent prime factors to calculate the LCM of 27432 and 27441.

LCM(27432,27441) = 2³ × 3³ × 127¹ × 3049¹
LCM(27432,27441) = 83640168