What is the Least Common Multiple of 19167 and 19173?

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 19167 and 19173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19167 and 19173, than apply into the LCM equation.

GCF(19167,19173) = 3
LCM(19167,19173) = ( 19167 × 19173) / 3
LCM(19167,19173) = 367488891 / 3
LCM(19167,19173) = 122496297

Least Common Multiple (LCM) of 19167 and 19173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19167 and 19173. First we will calculate the prime factors of 19167 and 19173.

Prime Factorization of 19167

Prime Factorization of 19173

Now multiplying the highest exponent prime factors to calculate the LCM of 19167 and 19173.

LCM(19167,19173) = 3¹ × 6389¹ × 7¹ × 11¹ × 83¹
LCM(19167,19173) = 122496297