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What is the Least Common Multiple of 9022 and 9039?

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 9022 and 9039 is 81549858.

LCM(9022,9039) = 81549858

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Least Common Multiple of 9022 and 9039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9022 and 9039, than apply into the LCM equation.

GCF(9022,9039) = 1
LCM(9022,9039) = ( 9022 × 9039) / 1
LCM(9022,9039) = 81549858 / 1
LCM(9022,9039) = 81549858

Least Common Multiple (LCM) of 9022 and 9039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9022 and 9039. First we will calculate the prime factors of 9022 and 9039.

Prime Factorization of 9022

Prime factors of 9022 are 2, 13, 347. Prime factorization of 9022 in exponential form is:

9022 = 21 × 131 × 3471

Prime Factorization of 9039

Prime factors of 9039 are 3, 23, 131. Prime factorization of 9039 in exponential form is:

9039 = 31 × 231 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9022 and 9039.

LCM(9022,9039) = 21 × 131 × 3471 × 31 × 231 × 1311
LCM(9022,9039) = 81549858