What is the Least Common Multiple of 23014 and 23022?

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 23022 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 23022, than apply into the LCM equation.

GCF(23014,23022) = 2
LCM(23014,23022) = ( 23014 × 23022) / 2
LCM(23014,23022) = 529828308 / 2
LCM(23014,23022) = 264914154

Least Common Multiple (LCM) of 23014 and 23022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23014 and 23022. First we will calculate the prime factors of 23014 and 23022.

Prime Factorization of 23014

Prime Factorization of 23022

Now multiplying the highest exponent prime factors to calculate the LCM of 23014 and 23022.

LCM(23014,23022) = 2¹ × 37¹ × 311¹ × 3² × 1279¹
LCM(23014,23022) = 264914154