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What is the Least Common Multiple of 92857 and 92872?

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 92857 and 92872 is 8623815304.

LCM(92857,92872) = 8623815304

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Least Common Multiple of 92857 and 92872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92857 and 92872, than apply into the LCM equation.

GCF(92857,92872) = 1
LCM(92857,92872) = ( 92857 × 92872) / 1
LCM(92857,92872) = 8623815304 / 1
LCM(92857,92872) = 8623815304

Least Common Multiple (LCM) of 92857 and 92872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92857 and 92872. First we will calculate the prime factors of 92857 and 92872.

Prime Factorization of 92857

Prime factors of 92857 are 92857. Prime factorization of 92857 in exponential form is:

92857 = 928571

Prime Factorization of 92872

Prime factors of 92872 are 2, 13, 19, 47. Prime factorization of 92872 in exponential form is:

92872 = 23 × 131 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 92857 and 92872.

LCM(92857,92872) = 928571 × 23 × 131 × 191 × 471
LCM(92857,92872) = 8623815304