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What is the Least Common Multiple of 58897 and 58915?

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 58897 and 58915 is 3469916755.

LCM(58897,58915) = 3469916755

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Least Common Multiple of 58897 and 58915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58897 and 58915, than apply into the LCM equation.

GCF(58897,58915) = 1
LCM(58897,58915) = ( 58897 × 58915) / 1
LCM(58897,58915) = 3469916755 / 1
LCM(58897,58915) = 3469916755

Least Common Multiple (LCM) of 58897 and 58915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58897 and 58915. First we will calculate the prime factors of 58897 and 58915.

Prime Factorization of 58897

Prime factors of 58897 are 58897. Prime factorization of 58897 in exponential form is:

58897 = 588971

Prime Factorization of 58915

Prime factors of 58915 are 5, 11783. Prime factorization of 58915 in exponential form is:

58915 = 51 × 117831

Now multiplying the highest exponent prime factors to calculate the LCM of 58897 and 58915.

LCM(58897,58915) = 588971 × 51 × 117831
LCM(58897,58915) = 3469916755