What is the Least Common Multiple of 63173 and 63191?

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 63173 and 63191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63173 and 63191, than apply into the LCM equation.

GCF(63173,63191) = 1
LCM(63173,63191) = ( 63173 × 63191) / 1
LCM(63173,63191) = 3991965043 / 1
LCM(63173,63191) = 3991965043

Least Common Multiple (LCM) of 63173 and 63191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63173 and 63191. First we will calculate the prime factors of 63173 and 63191.

Prime Factorization of 63173

Prime Factorization of 63191

Now multiplying the highest exponent prime factors to calculate the LCM of 63173 and 63191.

LCM(63173,63191) = 11¹ × 5743¹ × 29¹ × 2179¹
LCM(63173,63191) = 3991965043