What is the Least Common Multiple of 31143 and 31163?

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 31143 and 31163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31143 and 31163, than apply into the LCM equation.

GCF(31143,31163) = 1
LCM(31143,31163) = ( 31143 × 31163) / 1
LCM(31143,31163) = 970509309 / 1
LCM(31143,31163) = 970509309

Least Common Multiple (LCM) of 31143 and 31163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31143 and 31163. First we will calculate the prime factors of 31143 and 31163.

Prime Factorization of 31143

Prime Factorization of 31163

Now multiplying the highest exponent prime factors to calculate the LCM of 31143 and 31163.

LCM(31143,31163) = 3¹ × 7¹ × 1483¹ × 11¹ × 2833¹
LCM(31143,31163) = 970509309