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What is the Least Common Multiple of 58181 and 58186?

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 58181 and 58186 is 3385319666.

LCM(58181,58186) = 3385319666

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Least Common Multiple of 58181 and 58186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58181 and 58186, than apply into the LCM equation.

GCF(58181,58186) = 1
LCM(58181,58186) = ( 58181 × 58186) / 1
LCM(58181,58186) = 3385319666 / 1
LCM(58181,58186) = 3385319666

Least Common Multiple (LCM) of 58181 and 58186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58181 and 58186. First we will calculate the prime factors of 58181 and 58186.

Prime Factorization of 58181

Prime factors of 58181 are 73, 797. Prime factorization of 58181 in exponential form is:

58181 = 731 × 7971

Prime Factorization of 58186

Prime factors of 58186 are 2, 47, 619. Prime factorization of 58186 in exponential form is:

58186 = 21 × 471 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 58181 and 58186.

LCM(58181,58186) = 731 × 7971 × 21 × 471 × 6191
LCM(58181,58186) = 3385319666