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What is the Least Common Multiple of 9023 and 9034?

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 9023 and 9034 is 81513782.

LCM(9023,9034) = 81513782

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Least Common Multiple of 9023 and 9034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9023 and 9034, than apply into the LCM equation.

GCF(9023,9034) = 1
LCM(9023,9034) = ( 9023 × 9034) / 1
LCM(9023,9034) = 81513782 / 1
LCM(9023,9034) = 81513782

Least Common Multiple (LCM) of 9023 and 9034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9023 and 9034. First we will calculate the prime factors of 9023 and 9034.

Prime Factorization of 9023

Prime factors of 9023 are 7, 1289. Prime factorization of 9023 in exponential form is:

9023 = 71 × 12891

Prime Factorization of 9034

Prime factors of 9034 are 2, 4517. Prime factorization of 9034 in exponential form is:

9034 = 21 × 45171

Now multiplying the highest exponent prime factors to calculate the LCM of 9023 and 9034.

LCM(9023,9034) = 71 × 12891 × 21 × 45171
LCM(9023,9034) = 81513782