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What is the Least Common Multiple of 58229 and 58237?

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 58229 and 58237 is 3391082273.

LCM(58229,58237) = 3391082273

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Least Common Multiple of 58229 and 58237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58229 and 58237, than apply into the LCM equation.

GCF(58229,58237) = 1
LCM(58229,58237) = ( 58229 × 58237) / 1
LCM(58229,58237) = 3391082273 / 1
LCM(58229,58237) = 3391082273

Least Common Multiple (LCM) of 58229 and 58237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58229 and 58237. First we will calculate the prime factors of 58229 and 58237.

Prime Factorization of 58229

Prime factors of 58229 are 58229. Prime factorization of 58229 in exponential form is:

58229 = 582291

Prime Factorization of 58237

Prime factors of 58237 are 58237. Prime factorization of 58237 in exponential form is:

58237 = 582371

Now multiplying the highest exponent prime factors to calculate the LCM of 58229 and 58237.

LCM(58229,58237) = 582291 × 582371
LCM(58229,58237) = 3391082273