What is the Least Common Multiple of 22854 and 22869?

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 22854 and 22869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22854 and 22869, than apply into the LCM equation.

GCF(22854,22869) = 3
LCM(22854,22869) = ( 22854 × 22869) / 3
LCM(22854,22869) = 522648126 / 3
LCM(22854,22869) = 174216042

Least Common Multiple (LCM) of 22854 and 22869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22854 and 22869. First we will calculate the prime factors of 22854 and 22869.

Prime Factorization of 22854

Prime Factorization of 22869

Now multiplying the highest exponent prime factors to calculate the LCM of 22854 and 22869.

LCM(22854,22869) = 2¹ × 3³ × 13¹ × 293¹ × 7¹ × 11²
LCM(22854,22869) = 174216042