What is the Least Common Multiple of 27576 and 27582?

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 27576 and 27582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27576 and 27582, than apply into the LCM equation.

GCF(27576,27582) = 6
LCM(27576,27582) = ( 27576 × 27582) / 6
LCM(27576,27582) = 760601232 / 6
LCM(27576,27582) = 126766872

Least Common Multiple (LCM) of 27576 and 27582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27576 and 27582. First we will calculate the prime factors of 27576 and 27582.

Prime Factorization of 27576

Prime Factorization of 27582

Now multiplying the highest exponent prime factors to calculate the LCM of 27576 and 27582.

LCM(27576,27582) = 2³ × 3² × 383¹ × 4597¹
LCM(27576,27582) = 126766872