What is the Least Common Multiple of 23179 and 23193?

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 23179 and 23193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23179 and 23193, than apply into the LCM equation.

GCF(23179,23193) = 1
LCM(23179,23193) = ( 23179 × 23193) / 1
LCM(23179,23193) = 537590547 / 1
LCM(23179,23193) = 537590547

Least Common Multiple (LCM) of 23179 and 23193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23179 and 23193. First we will calculate the prime factors of 23179 and 23193.

Prime Factorization of 23179

Prime Factorization of 23193

Now multiplying the highest exponent prime factors to calculate the LCM of 23179 and 23193.

LCM(23179,23193) = 13¹ × 1783¹ × 3³ × 859¹
LCM(23179,23193) = 537590547