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What is the Least Common Multiple of 93887 and 93902?

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 93902 is 8816177074.

LCM(93887,93902) = 8816177074

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Least Common Multiple of 93887 and 93902 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 93902, than apply into the LCM equation.

GCF(93887,93902) = 1
LCM(93887,93902) = ( 93887 × 93902) / 1
LCM(93887,93902) = 8816177074 / 1
LCM(93887,93902) = 8816177074

Least Common Multiple (LCM) of 93887 and 93902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93887 and 93902. First we will calculate the prime factors of 93887 and 93902.

Prime Factorization of 93887

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

93887 = 938871

Prime Factorization of 93902

Prime factors of 93902 are 2, 29, 1619. Prime factorization of 93902 in exponential form is:

93902 = 21 × 291 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 93887 and 93902.

LCM(93887,93902) = 938871 × 21 × 291 × 16191
LCM(93887,93902) = 8816177074