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What is the Least Common Multiple of 93887 and 93892?

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 93887 and 93892 is 8815238204.

LCM(93887,93892) = 8815238204

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Least Common Multiple of 93887 and 93892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93887 and 93892, than apply into the LCM equation.

GCF(93887,93892) = 1
LCM(93887,93892) = ( 93887 × 93892) / 1
LCM(93887,93892) = 8815238204 / 1
LCM(93887,93892) = 8815238204

Least Common Multiple (LCM) of 93887 and 93892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93887 and 93892. First we will calculate the prime factors of 93887 and 93892.

Prime Factorization of 93887

Prime factors of 93887 are 93887. Prime factorization of 93887 in exponential form is:

93887 = 938871

Prime Factorization of 93892

Prime factors of 93892 are 2, 23473. Prime factorization of 93892 in exponential form is:

93892 = 22 × 234731

Now multiplying the highest exponent prime factors to calculate the LCM of 93887 and 93892.

LCM(93887,93892) = 938871 × 22 × 234731
LCM(93887,93892) = 8815238204