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What is the Least Common Multiple of 58885 and 58891?

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 58885 and 58891 is 3467796535.

LCM(58885,58891) = 3467796535

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Least Common Multiple of 58885 and 58891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58885 and 58891, than apply into the LCM equation.

GCF(58885,58891) = 1
LCM(58885,58891) = ( 58885 × 58891) / 1
LCM(58885,58891) = 3467796535 / 1
LCM(58885,58891) = 3467796535

Least Common Multiple (LCM) of 58885 and 58891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58885 and 58891. First we will calculate the prime factors of 58885 and 58891.

Prime Factorization of 58885

Prime factors of 58885 are 5, 11777. Prime factorization of 58885 in exponential form is:

58885 = 51 × 117771

Prime Factorization of 58891

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

58891 = 71 × 471 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 58885 and 58891.

LCM(58885,58891) = 51 × 117771 × 71 × 471 × 1791
LCM(58885,58891) = 3467796535