What is the Least Common Multiple of 27578 and 27589?

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 27578 and 27589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27578 and 27589, than apply into the LCM equation.

GCF(27578,27589) = 1
LCM(27578,27589) = ( 27578 × 27589) / 1
LCM(27578,27589) = 760849442 / 1
LCM(27578,27589) = 760849442

Least Common Multiple (LCM) of 27578 and 27589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27578 and 27589. First we will calculate the prime factors of 27578 and 27589.

Prime Factorization of 27578

Prime Factorization of 27589

Now multiplying the highest exponent prime factors to calculate the LCM of 27578 and 27589.

LCM(27578,27589) = 2¹ × 13789¹ × 47¹ × 587¹
LCM(27578,27589) = 760849442