What is the Least Common Multiple of 22586 and 22593?

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 22586 and 22593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22586 and 22593, than apply into the LCM equation.

GCF(22586,22593) = 1
LCM(22586,22593) = ( 22586 × 22593) / 1
LCM(22586,22593) = 510285498 / 1
LCM(22586,22593) = 510285498

Least Common Multiple (LCM) of 22586 and 22593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22586 and 22593. First we will calculate the prime factors of 22586 and 22593.

Prime Factorization of 22586

Prime Factorization of 22593

Now multiplying the highest exponent prime factors to calculate the LCM of 22586 and 22593.

LCM(22586,22593) = 2¹ × 23¹ × 491¹ × 3¹ × 17¹ × 443¹
LCM(22586,22593) = 510285498