What is the Least Common Multiple of 22869 and 22883?

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 22869 and 22883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22869 and 22883, than apply into the LCM equation.

GCF(22869,22883) = 7
LCM(22869,22883) = ( 22869 × 22883) / 7
LCM(22869,22883) = 523311327 / 7
LCM(22869,22883) = 74758761

Least Common Multiple (LCM) of 22869 and 22883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22869 and 22883. First we will calculate the prime factors of 22869 and 22883.

Prime Factorization of 22869

Prime Factorization of 22883

Now multiplying the highest exponent prime factors to calculate the LCM of 22869 and 22883.

LCM(22869,22883) = 3³ × 7² × 11² × 467¹
LCM(22869,22883) = 74758761