What is the Least Common Multiple of 43023 and 43041?

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 43023 and 43041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43023 and 43041, than apply into the LCM equation.

GCF(43023,43041) = 3
LCM(43023,43041) = ( 43023 × 43041) / 3
LCM(43023,43041) = 1851752943 / 3
LCM(43023,43041) = 617250981

Least Common Multiple (LCM) of 43023 and 43041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43023 and 43041. First we will calculate the prime factors of 43023 and 43041.

Prime Factorization of 43023

Prime Factorization of 43041

Now multiplying the highest exponent prime factors to calculate the LCM of 43023 and 43041.

LCM(43023,43041) = 3¹ × 14341¹ × 14347¹
LCM(43023,43041) = 617250981