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What is the Least Common Multiple of 58087 and 58093?

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 58087 and 58093 is 3374448091.

LCM(58087,58093) = 3374448091

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Least Common Multiple of 58087 and 58093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58087 and 58093, than apply into the LCM equation.

GCF(58087,58093) = 1
LCM(58087,58093) = ( 58087 × 58093) / 1
LCM(58087,58093) = 3374448091 / 1
LCM(58087,58093) = 3374448091

Least Common Multiple (LCM) of 58087 and 58093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58087 and 58093. First we will calculate the prime factors of 58087 and 58093.

Prime Factorization of 58087

Prime factors of 58087 are 29, 2003. Prime factorization of 58087 in exponential form is:

58087 = 291 × 20031

Prime Factorization of 58093

Prime factors of 58093 are 7, 43, 193. Prime factorization of 58093 in exponential form is:

58093 = 71 × 431 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 58087 and 58093.

LCM(58087,58093) = 291 × 20031 × 71 × 431 × 1931
LCM(58087,58093) = 3374448091