What is the Least Common Multiple of 43012 and 43026?

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 43012 and 43026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43012 and 43026, than apply into the LCM equation.

GCF(43012,43026) = 2
LCM(43012,43026) = ( 43012 × 43026) / 2
LCM(43012,43026) = 1850634312 / 2
LCM(43012,43026) = 925317156

Least Common Multiple (LCM) of 43012 and 43026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43012 and 43026. First we will calculate the prime factors of 43012 and 43026.

Prime Factorization of 43012

Prime Factorization of 43026

Now multiplying the highest exponent prime factors to calculate the LCM of 43012 and 43026.

LCM(43012,43026) = 2² × 10753¹ × 3¹ × 71¹ × 101¹
LCM(43012,43026) = 925317156