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What is the Least Common Multiple of 93782 and 93795?

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 93782 and 93795 is 676637130.

LCM(93782,93795) = 676637130

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Least Common Multiple of 93782 and 93795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93782 and 93795, than apply into the LCM equation.

GCF(93782,93795) = 13
LCM(93782,93795) = ( 93782 × 93795) / 13
LCM(93782,93795) = 8796282690 / 13
LCM(93782,93795) = 676637130

Least Common Multiple (LCM) of 93782 and 93795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93782 and 93795. First we will calculate the prime factors of 93782 and 93795.

Prime Factorization of 93782

Prime factors of 93782 are 2, 13, 3607. Prime factorization of 93782 in exponential form is:

93782 = 21 × 131 × 36071

Prime Factorization of 93795

Prime factors of 93795 are 3, 5, 13, 37. Prime factorization of 93795 in exponential form is:

93795 = 31 × 51 × 132 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 93782 and 93795.

LCM(93782,93795) = 21 × 132 × 36071 × 31 × 51 × 371
LCM(93782,93795) = 676637130