What is the Least Common Multiple of 27675 and 27695?

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 27675 and 27695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27675 and 27695, than apply into the LCM equation.

GCF(27675,27695) = 5
LCM(27675,27695) = ( 27675 × 27695) / 5
LCM(27675,27695) = 766459125 / 5
LCM(27675,27695) = 153291825

Least Common Multiple (LCM) of 27675 and 27695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27675 and 27695. First we will calculate the prime factors of 27675 and 27695.

Prime Factorization of 27675

Prime Factorization of 27695

Now multiplying the highest exponent prime factors to calculate the LCM of 27675 and 27695.

LCM(27675,27695) = 3³ × 5² × 41¹ × 29¹ × 191¹
LCM(27675,27695) = 153291825