What is the Least Common Multiple of 10143 and 10163?

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 10143 and 10163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10143 and 10163, than apply into the LCM equation.

GCF(10143,10163) = 1
LCM(10143,10163) = ( 10143 × 10163) / 1
LCM(10143,10163) = 103083309 / 1
LCM(10143,10163) = 103083309

Least Common Multiple (LCM) of 10143 and 10163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10143 and 10163. First we will calculate the prime factors of 10143 and 10163.

Prime Factorization of 10143

Prime Factorization of 10163

Now multiplying the highest exponent prime factors to calculate the LCM of 10143 and 10163.

LCM(10143,10163) = 3² × 7² × 23¹ × 10163¹
LCM(10143,10163) = 103083309