What is the Least Common Multiple of 10023 and 10031?

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 10023 and 10031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10023 and 10031, than apply into the LCM equation.

GCF(10023,10031) = 1
LCM(10023,10031) = ( 10023 × 10031) / 1
LCM(10023,10031) = 100540713 / 1
LCM(10023,10031) = 100540713

Least Common Multiple (LCM) of 10023 and 10031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10023 and 10031. First we will calculate the prime factors of 10023 and 10031.

Prime Factorization of 10023

Prime Factorization of 10031

Now multiplying the highest exponent prime factors to calculate the LCM of 10023 and 10031.

LCM(10023,10031) = 3¹ × 13¹ × 257¹ × 7¹ × 1433¹
LCM(10023,10031) = 100540713