What is the Least Common Multiple of 22889 and 22902?

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 22889 and 22902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22889 and 22902, than apply into the LCM equation.

GCF(22889,22902) = 1
LCM(22889,22902) = ( 22889 × 22902) / 1
LCM(22889,22902) = 524203878 / 1
LCM(22889,22902) = 524203878

Least Common Multiple (LCM) of 22889 and 22902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22889 and 22902. First we will calculate the prime factors of 22889 and 22902.

Prime Factorization of 22889

Prime Factorization of 22902

Now multiplying the highest exponent prime factors to calculate the LCM of 22889 and 22902.

LCM(22889,22902) = 47¹ × 487¹ × 2¹ × 3¹ × 11¹ × 347¹
LCM(22889,22902) = 524203878