What is the Least Common Multiple of 22167 and 22173?

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 22167 and 22173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22167 and 22173, than apply into the LCM equation.

GCF(22167,22173) = 3
LCM(22167,22173) = ( 22167 × 22173) / 3
LCM(22167,22173) = 491508891 / 3
LCM(22167,22173) = 163836297

Least Common Multiple (LCM) of 22167 and 22173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22167 and 22173. First we will calculate the prime factors of 22167 and 22173.

Prime Factorization of 22167

Prime Factorization of 22173

Now multiplying the highest exponent prime factors to calculate the LCM of 22167 and 22173.

LCM(22167,22173) = 3³ × 821¹ × 19¹ × 389¹
LCM(22167,22173) = 163836297