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What is the Least Common Multiple of 9006 and 9013?

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 9006 and 9013 is 81171078.

LCM(9006,9013) = 81171078

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Least Common Multiple of 9006 and 9013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9006 and 9013, than apply into the LCM equation.

GCF(9006,9013) = 1
LCM(9006,9013) = ( 9006 × 9013) / 1
LCM(9006,9013) = 81171078 / 1
LCM(9006,9013) = 81171078

Least Common Multiple (LCM) of 9006 and 9013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9006 and 9013. First we will calculate the prime factors of 9006 and 9013.

Prime Factorization of 9006

Prime factors of 9006 are 2, 3, 19, 79. Prime factorization of 9006 in exponential form is:

9006 = 21 × 31 × 191 × 791

Prime Factorization of 9013

Prime factors of 9013 are 9013. Prime factorization of 9013 in exponential form is:

9013 = 90131

Now multiplying the highest exponent prime factors to calculate the LCM of 9006 and 9013.

LCM(9006,9013) = 21 × 31 × 191 × 791 × 90131
LCM(9006,9013) = 81171078