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What is the Least Common Multiple of 58873 and 58888?

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 58873 and 58888 is 3466913224.

LCM(58873,58888) = 3466913224

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Least Common Multiple of 58873 and 58888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58873 and 58888, than apply into the LCM equation.

GCF(58873,58888) = 1
LCM(58873,58888) = ( 58873 × 58888) / 1
LCM(58873,58888) = 3466913224 / 1
LCM(58873,58888) = 3466913224

Least Common Multiple (LCM) of 58873 and 58888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58873 and 58888. First we will calculate the prime factors of 58873 and 58888.

Prime Factorization of 58873

Prime factors of 58873 are 113, 521. Prime factorization of 58873 in exponential form is:

58873 = 1131 × 5211

Prime Factorization of 58888

Prime factors of 58888 are 2, 17, 433. Prime factorization of 58888 in exponential form is:

58888 = 23 × 171 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 58873 and 58888.

LCM(58873,58888) = 1131 × 5211 × 23 × 171 × 4331
LCM(58873,58888) = 3466913224