What is the Least Common Multiple of 27567 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 27567 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 27567 and 27582, than apply into the LCM equation.

GCF(27567,27582) = 3
LCM(27567,27582) = ( 27567 × 27582) / 3
LCM(27567,27582) = 760352994 / 3
LCM(27567,27582) = 253450998

Least Common Multiple (LCM) of 27567 and 27582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27567 and 27582. First we will calculate the prime factors of 27567 and 27582.

Prime Factorization of 27567

Prime Factorization of 27582

Now multiplying the highest exponent prime factors to calculate the LCM of 27567 and 27582.

LCM(27567,27582) = 3³ × 1021¹ × 2¹ × 4597¹
LCM(27567,27582) = 253450998