What is the Least Common Multiple of 40004 and 40021?

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 40004 and 40021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40004 and 40021, than apply into the LCM equation.

GCF(40004,40021) = 1
LCM(40004,40021) = ( 40004 × 40021) / 1
LCM(40004,40021) = 1601000084 / 1
LCM(40004,40021) = 1601000084

Least Common Multiple (LCM) of 40004 and 40021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40004 and 40021. First we will calculate the prime factors of 40004 and 40021.

Prime Factorization of 40004

Prime Factorization of 40021

Now multiplying the highest exponent prime factors to calculate the LCM of 40004 and 40021.

LCM(40004,40021) = 2² × 73¹ × 137¹ × 31¹ × 1291¹
LCM(40004,40021) = 1601000084