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What is the Least Common Multiple of 93882 and 93899?

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 93882 and 93899 is 8815425918.

LCM(93882,93899) = 8815425918

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Least Common Multiple of 93882 and 93899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93882 and 93899, than apply into the LCM equation.

GCF(93882,93899) = 1
LCM(93882,93899) = ( 93882 × 93899) / 1
LCM(93882,93899) = 8815425918 / 1
LCM(93882,93899) = 8815425918

Least Common Multiple (LCM) of 93882 and 93899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93882 and 93899. First we will calculate the prime factors of 93882 and 93899.

Prime Factorization of 93882

Prime factors of 93882 are 2, 3, 15647. Prime factorization of 93882 in exponential form is:

93882 = 21 × 31 × 156471

Prime Factorization of 93899

Prime factors of 93899 are 13, 31, 233. Prime factorization of 93899 in exponential form is:

93899 = 131 × 311 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 93882 and 93899.

LCM(93882,93899) = 21 × 31 × 156471 × 131 × 311 × 2331
LCM(93882,93899) = 8815425918