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What is the Least Common Multiple of 58543 and 58555?

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 58543 and 58555 is 3427985365.

LCM(58543,58555) = 3427985365

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Least Common Multiple of 58543 and 58555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58543 and 58555, than apply into the LCM equation.

GCF(58543,58555) = 1
LCM(58543,58555) = ( 58543 × 58555) / 1
LCM(58543,58555) = 3427985365 / 1
LCM(58543,58555) = 3427985365

Least Common Multiple (LCM) of 58543 and 58555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58543 and 58555. First we will calculate the prime factors of 58543 and 58555.

Prime Factorization of 58543

Prime factors of 58543 are 58543. Prime factorization of 58543 in exponential form is:

58543 = 585431

Prime Factorization of 58555

Prime factors of 58555 are 5, 7, 239. Prime factorization of 58555 in exponential form is:

58555 = 51 × 72 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 58543 and 58555.

LCM(58543,58555) = 585431 × 51 × 72 × 2391
LCM(58543,58555) = 3427985365