What is the Least Common Multiple of 13143 and 13163?

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 13143 and 13163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13143 and 13163, than apply into the LCM equation.

GCF(13143,13163) = 1
LCM(13143,13163) = ( 13143 × 13163) / 1
LCM(13143,13163) = 173001309 / 1
LCM(13143,13163) = 173001309

Least Common Multiple (LCM) of 13143 and 13163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13143 and 13163. First we will calculate the prime factors of 13143 and 13163.

Prime Factorization of 13143

Prime Factorization of 13163

Now multiplying the highest exponent prime factors to calculate the LCM of 13143 and 13163.

LCM(13143,13163) = 3¹ × 13¹ × 337¹ × 13163¹
LCM(13143,13163) = 173001309