What is the Least Common Multiple of 73143 and 73163?

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 73143 and 73163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73143 and 73163, than apply into the LCM equation.

GCF(73143,73163) = 1
LCM(73143,73163) = ( 73143 × 73163) / 1
LCM(73143,73163) = 5351361309 / 1
LCM(73143,73163) = 5351361309

Least Common Multiple (LCM) of 73143 and 73163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73143 and 73163. First we will calculate the prime factors of 73143 and 73163.

Prime Factorization of 73143

Prime Factorization of 73163

Now multiplying the highest exponent prime factors to calculate the LCM of 73143 and 73163.

LCM(73143,73163) = 3⁵ × 7¹ × 43¹ × 23¹ × 3181¹
LCM(73143,73163) = 5351361309