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What is the Least Common Multiple of 12001 and 12009?

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 12001 and 12009 is 144120009.

LCM(12001,12009) = 144120009

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Least Common Multiple of 12001 and 12009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12001 and 12009, than apply into the LCM equation.

GCF(12001,12009) = 1
LCM(12001,12009) = ( 12001 × 12009) / 1
LCM(12001,12009) = 144120009 / 1
LCM(12001,12009) = 144120009

Least Common Multiple (LCM) of 12001 and 12009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12001 and 12009. First we will calculate the prime factors of 12001 and 12009.

Prime Factorization of 12001

Prime factors of 12001 are 11, 1091. Prime factorization of 12001 in exponential form is:

12001 = 111 × 10911

Prime Factorization of 12009

Prime factors of 12009 are 3, 4003. Prime factorization of 12009 in exponential form is:

12009 = 31 × 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 12001 and 12009.

LCM(12001,12009) = 111 × 10911 × 31 × 40031
LCM(12001,12009) = 144120009