What is the Least Common Multiple of 27589 and 27600?

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 27589 and 27600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27589 and 27600, than apply into the LCM equation.

GCF(27589,27600) = 1
LCM(27589,27600) = ( 27589 × 27600) / 1
LCM(27589,27600) = 761456400 / 1
LCM(27589,27600) = 761456400

Least Common Multiple (LCM) of 27589 and 27600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27589 and 27600. First we will calculate the prime factors of 27589 and 27600.

Prime Factorization of 27589

Prime Factorization of 27600

Now multiplying the highest exponent prime factors to calculate the LCM of 27589 and 27600.

LCM(27589,27600) = 47¹ × 587¹ × 2⁴ × 3¹ × 5² × 23¹
LCM(27589,27600) = 761456400