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What is the Least Common Multiple of 12004 and 12017?

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 12004 and 12017 is 144252068.

LCM(12004,12017) = 144252068

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Least Common Multiple of 12004 and 12017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12004 and 12017, than apply into the LCM equation.

GCF(12004,12017) = 1
LCM(12004,12017) = ( 12004 × 12017) / 1
LCM(12004,12017) = 144252068 / 1
LCM(12004,12017) = 144252068

Least Common Multiple (LCM) of 12004 and 12017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12004 and 12017. First we will calculate the prime factors of 12004 and 12017.

Prime Factorization of 12004

Prime factors of 12004 are 2, 3001. Prime factorization of 12004 in exponential form is:

12004 = 22 × 30011

Prime Factorization of 12017

Prime factors of 12017 are 61, 197. Prime factorization of 12017 in exponential form is:

12017 = 611 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 12004 and 12017.

LCM(12004,12017) = 22 × 30011 × 611 × 1971
LCM(12004,12017) = 144252068