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What is the Least Common Multiple of 9004 and 9009?

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 9004 and 9009 is 81117036.

LCM(9004,9009) = 81117036

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Least Common Multiple of 9004 and 9009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9004 and 9009, than apply into the LCM equation.

GCF(9004,9009) = 1
LCM(9004,9009) = ( 9004 × 9009) / 1
LCM(9004,9009) = 81117036 / 1
LCM(9004,9009) = 81117036

Least Common Multiple (LCM) of 9004 and 9009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9004 and 9009. First we will calculate the prime factors of 9004 and 9009.

Prime Factorization of 9004

Prime factors of 9004 are 2, 2251. Prime factorization of 9004 in exponential form is:

9004 = 22 × 22511

Prime Factorization of 9009

Prime factors of 9009 are 3, 7, 11, 13. Prime factorization of 9009 in exponential form is:

9009 = 32 × 71 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 9004 and 9009.

LCM(9004,9009) = 22 × 22511 × 32 × 71 × 111 × 131
LCM(9004,9009) = 81117036