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What is the Least Common Multiple of 58831 and 58843?

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 58843 is 3461792533.

LCM(58831,58843) = 3461792533

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Least Common Multiple of 58831 and 58843 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 58843, than apply into the LCM equation.

GCF(58831,58843) = 1
LCM(58831,58843) = ( 58831 × 58843) / 1
LCM(58831,58843) = 3461792533 / 1
LCM(58831,58843) = 3461792533

Least Common Multiple (LCM) of 58831 and 58843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58831 and 58843. First we will calculate the prime factors of 58831 and 58843.

Prime Factorization of 58831

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

58831 = 588311

Prime Factorization of 58843

Prime factors of 58843 are 19, 163. Prime factorization of 58843 in exponential form is:

58843 = 192 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 58831 and 58843.

LCM(58831,58843) = 588311 × 192 × 1631
LCM(58831,58843) = 3461792533