What is the Least Common Multiple of 23014 and 23031?

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 23014 and 23031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23014 and 23031, than apply into the LCM equation.

GCF(23014,23031) = 1
LCM(23014,23031) = ( 23014 × 23031) / 1
LCM(23014,23031) = 530035434 / 1
LCM(23014,23031) = 530035434

Least Common Multiple (LCM) of 23014 and 23031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23014 and 23031. First we will calculate the prime factors of 23014 and 23031.

Prime Factorization of 23014

Prime Factorization of 23031

Now multiplying the highest exponent prime factors to calculate the LCM of 23014 and 23031.

LCM(23014,23031) = 2¹ × 37¹ × 311¹ × 3³ × 853¹
LCM(23014,23031) = 530035434