What is the Least Common Multiple of 5013 and 5031?

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 5013 and 5031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5013 and 5031, than apply into the LCM equation.

GCF(5013,5031) = 9
LCM(5013,5031) = ( 5013 × 5031) / 9
LCM(5013,5031) = 25220403 / 9
LCM(5013,5031) = 2802267

Least Common Multiple (LCM) of 5013 and 5031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5013 and 5031. First we will calculate the prime factors of 5013 and 5031.

Prime Factorization of 5013

Prime Factorization of 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 5013 and 5031.

LCM(5013,5031) = 3² × 557¹ × 13¹ × 43¹
LCM(5013,5031) = 2802267