What is the Least Common Multiple of 22578 and 22586?

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 22578 and 22586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22578 and 22586, than apply into the LCM equation.

GCF(22578,22586) = 2
LCM(22578,22586) = ( 22578 × 22586) / 2
LCM(22578,22586) = 509946708 / 2
LCM(22578,22586) = 254973354

Least Common Multiple (LCM) of 22578 and 22586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22578 and 22586. First we will calculate the prime factors of 22578 and 22586.

Prime Factorization of 22578

Prime Factorization of 22586

Now multiplying the highest exponent prime factors to calculate the LCM of 22578 and 22586.

LCM(22578,22586) = 2¹ × 3¹ × 53¹ × 71¹ × 23¹ × 491¹
LCM(22578,22586) = 254973354