What is the Least Common Multiple of 43023 and 43042?

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 43042 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 43042, than apply into the LCM equation.

GCF(43023,43042) = 1
LCM(43023,43042) = ( 43023 × 43042) / 1
LCM(43023,43042) = 1851795966 / 1
LCM(43023,43042) = 1851795966

Least Common Multiple (LCM) of 43023 and 43042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43023 and 43042. First we will calculate the prime factors of 43023 and 43042.

Prime Factorization of 43023

Prime Factorization of 43042

Now multiplying the highest exponent prime factors to calculate the LCM of 43023 and 43042.

LCM(43023,43042) = 3¹ × 14341¹ × 2¹ × 21521¹
LCM(43023,43042) = 1851795966