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What is the Least Common Multiple of 93861 and 93867?

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 93861 and 93867 is 2936816829.

LCM(93861,93867) = 2936816829

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Least Common Multiple of 93861 and 93867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93861 and 93867, than apply into the LCM equation.

GCF(93861,93867) = 3
LCM(93861,93867) = ( 93861 × 93867) / 3
LCM(93861,93867) = 8810450487 / 3
LCM(93861,93867) = 2936816829

Least Common Multiple (LCM) of 93861 and 93867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93861 and 93867. First we will calculate the prime factors of 93861 and 93867.

Prime Factorization of 93861

Prime factors of 93861 are 3, 10429. Prime factorization of 93861 in exponential form is:

93861 = 32 × 104291

Prime Factorization of 93867

Prime factors of 93867 are 3, 67, 467. Prime factorization of 93867 in exponential form is:

93867 = 31 × 671 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 93861 and 93867.

LCM(93861,93867) = 32 × 104291 × 671 × 4671
LCM(93861,93867) = 2936816829