What is the Least Common Multiple of 22565 and 22578?

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 22565 and 22578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22565 and 22578, than apply into the LCM equation.

GCF(22565,22578) = 1
LCM(22565,22578) = ( 22565 × 22578) / 1
LCM(22565,22578) = 509472570 / 1
LCM(22565,22578) = 509472570

Least Common Multiple (LCM) of 22565 and 22578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22565 and 22578. First we will calculate the prime factors of 22565 and 22578.

Prime Factorization of 22565

Prime Factorization of 22578

Now multiplying the highest exponent prime factors to calculate the LCM of 22565 and 22578.

LCM(22565,22578) = 5¹ × 4513¹ × 2¹ × 3¹ × 53¹ × 71¹
LCM(22565,22578) = 509472570