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What is the Least Common Multiple of 58867 and 58871?

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 58867 and 58871 is 3465559157.

LCM(58867,58871) = 3465559157

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Least Common Multiple of 58867 and 58871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58867 and 58871, than apply into the LCM equation.

GCF(58867,58871) = 1
LCM(58867,58871) = ( 58867 × 58871) / 1
LCM(58867,58871) = 3465559157 / 1
LCM(58867,58871) = 3465559157

Least Common Multiple (LCM) of 58867 and 58871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58867 and 58871. First we will calculate the prime factors of 58867 and 58871.

Prime Factorization of 58867

Prime factors of 58867 are 37, 43. Prime factorization of 58867 in exponential form is:

58867 = 372 × 431

Prime Factorization of 58871

Prime factors of 58871 are 17, 3463. Prime factorization of 58871 in exponential form is:

58871 = 171 × 34631

Now multiplying the highest exponent prime factors to calculate the LCM of 58867 and 58871.

LCM(58867,58871) = 372 × 431 × 171 × 34631
LCM(58867,58871) = 3465559157