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What is the Least Common Multiple of 9067 and 9071?

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 9067 and 9071 is 82246757.

LCM(9067,9071) = 82246757

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Least Common Multiple of 9067 and 9071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9067 and 9071, than apply into the LCM equation.

GCF(9067,9071) = 1
LCM(9067,9071) = ( 9067 × 9071) / 1
LCM(9067,9071) = 82246757 / 1
LCM(9067,9071) = 82246757

Least Common Multiple (LCM) of 9067 and 9071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9067 and 9071. First we will calculate the prime factors of 9067 and 9071.

Prime Factorization of 9067

Prime factors of 9067 are 9067. Prime factorization of 9067 in exponential form is:

9067 = 90671

Prime Factorization of 9071

Prime factors of 9071 are 47, 193. Prime factorization of 9071 in exponential form is:

9071 = 471 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 9067 and 9071.

LCM(9067,9071) = 90671 × 471 × 1931
LCM(9067,9071) = 82246757