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What is the Least Common Multiple of 9039 and 9058?

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 9039 and 9058 is 81875262.

LCM(9039,9058) = 81875262

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Least Common Multiple of 9039 and 9058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9039 and 9058, than apply into the LCM equation.

GCF(9039,9058) = 1
LCM(9039,9058) = ( 9039 × 9058) / 1
LCM(9039,9058) = 81875262 / 1
LCM(9039,9058) = 81875262

Least Common Multiple (LCM) of 9039 and 9058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9039 and 9058. First we will calculate the prime factors of 9039 and 9058.

Prime Factorization of 9039

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

9039 = 31 × 231 × 1311

Prime Factorization of 9058

Prime factors of 9058 are 2, 7, 647. Prime factorization of 9058 in exponential form is:

9058 = 21 × 71 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 9039 and 9058.

LCM(9039,9058) = 31 × 231 × 1311 × 21 × 71 × 6471
LCM(9039,9058) = 81875262