What is the Least Common Multiple of 22821 and 22833?

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 22821 and 22833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22821 and 22833, than apply into the LCM equation.

GCF(22821,22833) = 3
LCM(22821,22833) = ( 22821 × 22833) / 3
LCM(22821,22833) = 521071893 / 3
LCM(22821,22833) = 173690631

Least Common Multiple (LCM) of 22821 and 22833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22821 and 22833. First we will calculate the prime factors of 22821 and 22833.

Prime Factorization of 22821

Prime Factorization of 22833

Now multiplying the highest exponent prime factors to calculate the LCM of 22821 and 22833.

LCM(22821,22833) = 3² × 7607¹ × 43¹ × 59¹
LCM(22821,22833) = 173690631