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What is the Least Common Multiple of 58483 and 58491?

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 58483 and 58491 is 3420729153.

LCM(58483,58491) = 3420729153

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Least Common Multiple of 58483 and 58491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58483 and 58491, than apply into the LCM equation.

GCF(58483,58491) = 1
LCM(58483,58491) = ( 58483 × 58491) / 1
LCM(58483,58491) = 3420729153 / 1
LCM(58483,58491) = 3420729153

Least Common Multiple (LCM) of 58483 and 58491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58483 and 58491. First we will calculate the prime factors of 58483 and 58491.

Prime Factorization of 58483

Prime factors of 58483 are 233, 251. Prime factorization of 58483 in exponential form is:

58483 = 2331 × 2511

Prime Factorization of 58491

Prime factors of 58491 are 3, 67, 97. Prime factorization of 58491 in exponential form is:

58491 = 32 × 671 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 58483 and 58491.

LCM(58483,58491) = 2331 × 2511 × 32 × 671 × 971
LCM(58483,58491) = 3420729153