What is the Least Common Multiple of 11577 and 11594?

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 11577 and 11594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11577 and 11594, than apply into the LCM equation.

GCF(11577,11594) = 17
LCM(11577,11594) = ( 11577 × 11594) / 17
LCM(11577,11594) = 134223738 / 17
LCM(11577,11594) = 7895514

Least Common Multiple (LCM) of 11577 and 11594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11577 and 11594. First we will calculate the prime factors of 11577 and 11594.

Prime Factorization of 11577

Prime Factorization of 11594

Now multiplying the highest exponent prime factors to calculate the LCM of 11577 and 11594.

LCM(11577,11594) = 3¹ × 17¹ × 227¹ × 2¹ × 11¹ × 31¹
LCM(11577,11594) = 7895514