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What is the Least Common Multiple of 58187 and 58207?

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 58187 and 58207 is 3386890709.

LCM(58187,58207) = 3386890709

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Least Common Multiple of 58187 and 58207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58187 and 58207, than apply into the LCM equation.

GCF(58187,58207) = 1
LCM(58187,58207) = ( 58187 × 58207) / 1
LCM(58187,58207) = 3386890709 / 1
LCM(58187,58207) = 3386890709

Least Common Multiple (LCM) of 58187 and 58207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58187 and 58207. First we will calculate the prime factors of 58187 and 58207.

Prime Factorization of 58187

Prime factors of 58187 are 31, 1877. Prime factorization of 58187 in exponential form is:

58187 = 311 × 18771

Prime Factorization of 58207

Prime factors of 58207 are 58207. Prime factorization of 58207 in exponential form is:

58207 = 582071

Now multiplying the highest exponent prime factors to calculate the LCM of 58187 and 58207.

LCM(58187,58207) = 311 × 18771 × 582071
LCM(58187,58207) = 3386890709