What is the Least Common Multiple of 22899 and 22911?

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 22899 and 22911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22899 and 22911, than apply into the LCM equation.

GCF(22899,22911) = 3
LCM(22899,22911) = ( 22899 × 22911) / 3
LCM(22899,22911) = 524638989 / 3
LCM(22899,22911) = 174879663

Least Common Multiple (LCM) of 22899 and 22911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22899 and 22911. First we will calculate the prime factors of 22899 and 22911.

Prime Factorization of 22899

Prime Factorization of 22911

Now multiplying the highest exponent prime factors to calculate the LCM of 22899 and 22911.

LCM(22899,22911) = 3¹ × 17¹ × 449¹ × 7¹ × 1091¹
LCM(22899,22911) = 174879663