What is the Least Common Multiple of 40021 and 40041?

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 40021 and 40041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40021 and 40041, than apply into the LCM equation.

GCF(40021,40041) = 1
LCM(40021,40041) = ( 40021 × 40041) / 1
LCM(40021,40041) = 1602480861 / 1
LCM(40021,40041) = 1602480861

Least Common Multiple (LCM) of 40021 and 40041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40021 and 40041. First we will calculate the prime factors of 40021 and 40041.

Prime Factorization of 40021

Prime Factorization of 40041

Now multiplying the highest exponent prime factors to calculate the LCM of 40021 and 40041.

LCM(40021,40041) = 31¹ × 1291¹ × 3³ × 1483¹
LCM(40021,40041) = 1602480861