What is the Least Common Multiple of 22554 and 22564?

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 22554 and 22564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22554 and 22564, than apply into the LCM equation.

GCF(22554,22564) = 2
LCM(22554,22564) = ( 22554 × 22564) / 2
LCM(22554,22564) = 508908456 / 2
LCM(22554,22564) = 254454228

Least Common Multiple (LCM) of 22554 and 22564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22554 and 22564. First we will calculate the prime factors of 22554 and 22564.

Prime Factorization of 22554

Prime Factorization of 22564

Now multiplying the highest exponent prime factors to calculate the LCM of 22554 and 22564.

LCM(22554,22564) = 2² × 3² × 7¹ × 179¹ × 5641¹
LCM(22554,22564) = 254454228