What is the Least Common Multiple of 3149 and 3163?

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 3149 and 3163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3149 and 3163, than apply into the LCM equation.

GCF(3149,3163) = 1
LCM(3149,3163) = ( 3149 × 3163) / 1
LCM(3149,3163) = 9960287 / 1
LCM(3149,3163) = 9960287

Least Common Multiple (LCM) of 3149 and 3163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3149 and 3163. First we will calculate the prime factors of 3149 and 3163.

Prime Factorization of 3149

Prime Factorization of 3163

Now multiplying the highest exponent prime factors to calculate the LCM of 3149 and 3163.

LCM(3149,3163) = 47¹ × 67¹ × 3163¹
LCM(3149,3163) = 9960287