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What is the Least Common Multiple of 9007 and 9017?

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 9007 and 9017 is 81216119.

LCM(9007,9017) = 81216119

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Least Common Multiple of 9007 and 9017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9007 and 9017, than apply into the LCM equation.

GCF(9007,9017) = 1
LCM(9007,9017) = ( 9007 × 9017) / 1
LCM(9007,9017) = 81216119 / 1
LCM(9007,9017) = 81216119

Least Common Multiple (LCM) of 9007 and 9017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9007 and 9017. First we will calculate the prime factors of 9007 and 9017.

Prime Factorization of 9007

Prime factors of 9007 are 9007. Prime factorization of 9007 in exponential form is:

9007 = 90071

Prime Factorization of 9017

Prime factors of 9017 are 71, 127. Prime factorization of 9017 in exponential form is:

9017 = 711 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9007 and 9017.

LCM(9007,9017) = 90071 × 711 × 1271
LCM(9007,9017) = 81216119