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What is the Least Common Multiple of 58171 and 58181?

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 58171 and 58181 is 3384446951.

LCM(58171,58181) = 3384446951

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Least Common Multiple of 58171 and 58181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58171 and 58181, than apply into the LCM equation.

GCF(58171,58181) = 1
LCM(58171,58181) = ( 58171 × 58181) / 1
LCM(58171,58181) = 3384446951 / 1
LCM(58171,58181) = 3384446951

Least Common Multiple (LCM) of 58171 and 58181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58171 and 58181. First we will calculate the prime factors of 58171 and 58181.

Prime Factorization of 58171

Prime factors of 58171 are 58171. Prime factorization of 58171 in exponential form is:

58171 = 581711

Prime Factorization of 58181

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

58181 = 731 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 58171 and 58181.

LCM(58171,58181) = 581711 × 731 × 7971
LCM(58171,58181) = 3384446951