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What is the Least Common Multiple of 58819 and 58827?

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 58819 and 58827 is 3460145313.

LCM(58819,58827) = 3460145313

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Least Common Multiple of 58819 and 58827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58819 and 58827, than apply into the LCM equation.

GCF(58819,58827) = 1
LCM(58819,58827) = ( 58819 × 58827) / 1
LCM(58819,58827) = 3460145313 / 1
LCM(58819,58827) = 3460145313

Least Common Multiple (LCM) of 58819 and 58827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58819 and 58827. First we will calculate the prime factors of 58819 and 58827.

Prime Factorization of 58819

Prime factors of 58819 are 131, 449. Prime factorization of 58819 in exponential form is:

58819 = 1311 × 4491

Prime Factorization of 58827

Prime factors of 58827 are 3, 19609. Prime factorization of 58827 in exponential form is:

58827 = 31 × 196091

Now multiplying the highest exponent prime factors to calculate the LCM of 58819 and 58827.

LCM(58819,58827) = 1311 × 4491 × 31 × 196091
LCM(58819,58827) = 3460145313