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What is the Least Common Multiple of 58831 and 58847?

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 58831 and 58847 is 3462027857.

LCM(58831,58847) = 3462027857

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Least Common Multiple of 58831 and 58847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58831 and 58847, than apply into the LCM equation.

GCF(58831,58847) = 1
LCM(58831,58847) = ( 58831 × 58847) / 1
LCM(58831,58847) = 3462027857 / 1
LCM(58831,58847) = 3462027857

Least Common Multiple (LCM) of 58831 and 58847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58831 and 58847. First we will calculate the prime factors of 58831 and 58847.

Prime Factorization of 58831

Prime factors of 58831 are 58831. Prime factorization of 58831 in exponential form is:

58831 = 588311

Prime Factorization of 58847

Prime factors of 58847 are 83, 709. Prime factorization of 58847 in exponential form is:

58847 = 831 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 58831 and 58847.

LCM(58831,58847) = 588311 × 831 × 7091
LCM(58831,58847) = 3462027857