What is the Least Common Multiple of 22547 and 22566?

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 22547 and 22566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22547 and 22566, than apply into the LCM equation.

GCF(22547,22566) = 1
LCM(22547,22566) = ( 22547 × 22566) / 1
LCM(22547,22566) = 508795602 / 1
LCM(22547,22566) = 508795602

Least Common Multiple (LCM) of 22547 and 22566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22547 and 22566. First we will calculate the prime factors of 22547 and 22566.

Prime Factorization of 22547

Prime Factorization of 22566

Now multiplying the highest exponent prime factors to calculate the LCM of 22547 and 22566.

LCM(22547,22566) = 7¹ × 3221¹ × 2¹ × 3¹ × 3761¹
LCM(22547,22566) = 508795602