What is the Least Common Multiple of 16185 and 16193?

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 16185 and 16193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16185 and 16193, than apply into the LCM equation.

GCF(16185,16193) = 1
LCM(16185,16193) = ( 16185 × 16193) / 1
LCM(16185,16193) = 262083705 / 1
LCM(16185,16193) = 262083705

Least Common Multiple (LCM) of 16185 and 16193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16185 and 16193. First we will calculate the prime factors of 16185 and 16193.

Prime Factorization of 16185

Prime Factorization of 16193

Now multiplying the highest exponent prime factors to calculate the LCM of 16185 and 16193.

LCM(16185,16193) = 3¹ × 5¹ × 13¹ × 83¹ × 16193¹
LCM(16185,16193) = 262083705