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What is the Least Common Multiple of 58891 and 58899?

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 58891 and 58899 is 3468621009.

LCM(58891,58899) = 3468621009

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Least Common Multiple of 58891 and 58899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58891 and 58899, than apply into the LCM equation.

GCF(58891,58899) = 1
LCM(58891,58899) = ( 58891 × 58899) / 1
LCM(58891,58899) = 3468621009 / 1
LCM(58891,58899) = 3468621009

Least Common Multiple (LCM) of 58891 and 58899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58891 and 58899. First we will calculate the prime factors of 58891 and 58899.

Prime Factorization of 58891

Prime factors of 58891 are 7, 47, 179. Prime factorization of 58891 in exponential form is:

58891 = 71 × 471 × 1791

Prime Factorization of 58899

Prime factors of 58899 are 3, 29, 677. Prime factorization of 58899 in exponential form is:

58899 = 31 × 291 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 58891 and 58899.

LCM(58891,58899) = 71 × 471 × 1791 × 31 × 291 × 6771
LCM(58891,58899) = 3468621009