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What is the Least Common Multiple of 93882 and 93901?

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 93901 is 8815613682.

LCM(93882,93901) = 8815613682

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Least Common Multiple of 93882 and 93901 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 93901, than apply into the LCM equation.

GCF(93882,93901) = 1
LCM(93882,93901) = ( 93882 × 93901) / 1
LCM(93882,93901) = 8815613682 / 1
LCM(93882,93901) = 8815613682

Least Common Multiple (LCM) of 93882 and 93901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93882 and 93901. First we will calculate the prime factors of 93882 and 93901.

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 93901

Prime factors of 93901 are 93901. Prime factorization of 93901 in exponential form is:

93901 = 939011

Now multiplying the highest exponent prime factors to calculate the LCM of 93882 and 93901.

LCM(93882,93901) = 21 × 31 × 156471 × 939011
LCM(93882,93901) = 8815613682