GCF and LCM Calculator Logo

What is the Least Common Multiple of 40009 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 (LCM) of 40009 and 40021 is 1601200189.

LCM(40009,40021) = 1601200189

LCM Calculator and
and

Least Common Multiple of 40009 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 40009 and 40021, than apply into the LCM equation.

GCF(40009,40021) = 1
LCM(40009,40021) = ( 40009 × 40021) / 1
LCM(40009,40021) = 1601200189 / 1
LCM(40009,40021) = 1601200189

Least Common Multiple (LCM) of 40009 and 40021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40009 and 40021. First we will calculate the prime factors of 40009 and 40021.

Prime Factorization of 40009

Prime factors of 40009 are 40009. Prime factorization of 40009 in exponential form is:

40009 = 400091

Prime Factorization of 40021

Prime factors of 40021 are 31, 1291. Prime factorization of 40021 in exponential form is:

40021 = 311 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 40009 and 40021.

LCM(40009,40021) = 400091 × 311 × 12911
LCM(40009,40021) = 1601200189