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What is the Least Common Multiple of 93705 and 93717?

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 93705 and 93717 is 2927250495.

LCM(93705,93717) = 2927250495

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Least Common Multiple of 93705 and 93717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93705 and 93717, than apply into the LCM equation.

GCF(93705,93717) = 3
LCM(93705,93717) = ( 93705 × 93717) / 3
LCM(93705,93717) = 8781751485 / 3
LCM(93705,93717) = 2927250495

Least Common Multiple (LCM) of 93705 and 93717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93705 and 93717. First we will calculate the prime factors of 93705 and 93717.

Prime Factorization of 93705

Prime factors of 93705 are 3, 5, 6247. Prime factorization of 93705 in exponential form is:

93705 = 31 × 51 × 62471

Prime Factorization of 93717

Prime factors of 93717 are 3, 13, 89. Prime factorization of 93717 in exponential form is:

93717 = 34 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 93705 and 93717.

LCM(93705,93717) = 34 × 51 × 62471 × 131 × 891
LCM(93705,93717) = 2927250495