What is the Least Common Multiple of 10185 and 10193?

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 10185 and 10193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10185 and 10193, than apply into the LCM equation.

GCF(10185,10193) = 1
LCM(10185,10193) = ( 10185 × 10193) / 1
LCM(10185,10193) = 103815705 / 1
LCM(10185,10193) = 103815705

Least Common Multiple (LCM) of 10185 and 10193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10185 and 10193. First we will calculate the prime factors of 10185 and 10193.

Prime Factorization of 10185

Prime Factorization of 10193

Now multiplying the highest exponent prime factors to calculate the LCM of 10185 and 10193.

LCM(10185,10193) = 3¹ × 5¹ × 7¹ × 97¹ × 10193¹
LCM(10185,10193) = 103815705