What is the Least Common Multiple of 22563 and 22583?

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 22563 and 22583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22563 and 22583, than apply into the LCM equation.

GCF(22563,22583) = 1
LCM(22563,22583) = ( 22563 × 22583) / 1
LCM(22563,22583) = 509540229 / 1
LCM(22563,22583) = 509540229

Least Common Multiple (LCM) of 22563 and 22583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22563 and 22583. First we will calculate the prime factors of 22563 and 22583.

Prime Factorization of 22563

Prime Factorization of 22583

Now multiplying the highest exponent prime factors to calculate the LCM of 22563 and 22583.

LCM(22563,22583) = 3² × 23¹ × 109¹ × 11¹ × 2053¹
LCM(22563,22583) = 509540229