What is the Least Common Multiple of 75576 and 75589?

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 75576 and 75589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75576 and 75589, than apply into the LCM equation.

GCF(75576,75589) = 1
LCM(75576,75589) = ( 75576 × 75589) / 1
LCM(75576,75589) = 5712714264 / 1
LCM(75576,75589) = 5712714264

Least Common Multiple (LCM) of 75576 and 75589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75576 and 75589. First we will calculate the prime factors of 75576 and 75589.

Prime Factorization of 75576

Prime Factorization of 75589

Now multiplying the highest exponent prime factors to calculate the LCM of 75576 and 75589.

LCM(75576,75589) = 2³ × 3¹ × 47¹ × 67¹ × 269¹ × 281¹
LCM(75576,75589) = 5712714264