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What is the Least Common Multiple of 93787 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 93787 and 93795 is 8796751665.

LCM(93787,93795) = 8796751665

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Least Common Multiple of 93787 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 93787 and 93795, than apply into the LCM equation.

GCF(93787,93795) = 1
LCM(93787,93795) = ( 93787 × 93795) / 1
LCM(93787,93795) = 8796751665 / 1
LCM(93787,93795) = 8796751665

Least Common Multiple (LCM) of 93787 and 93795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93787 and 93795. First we will calculate the prime factors of 93787 and 93795.

Prime Factorization of 93787

Prime factors of 93787 are 93787. Prime factorization of 93787 in exponential form is:

93787 = 937871

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 93787 and 93795.

LCM(93787,93795) = 937871 × 31 × 51 × 132 × 371
LCM(93787,93795) = 8796751665