What is the Least Common Multiple of 23046 and 23059?

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 23046 and 23059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23046 and 23059, than apply into the LCM equation.

GCF(23046,23059) = 1
LCM(23046,23059) = ( 23046 × 23059) / 1
LCM(23046,23059) = 531417714 / 1
LCM(23046,23059) = 531417714

Least Common Multiple (LCM) of 23046 and 23059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23046 and 23059. First we will calculate the prime factors of 23046 and 23059.

Prime Factorization of 23046

Prime Factorization of 23059

Now multiplying the highest exponent prime factors to calculate the LCM of 23046 and 23059.

LCM(23046,23059) = 2¹ × 3¹ × 23¹ × 167¹ × 23059¹
LCM(23046,23059) = 531417714