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What is the Least Common Multiple of 93854 and 93861?

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 93854 and 93861 is 8809230294.

LCM(93854,93861) = 8809230294

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Least Common Multiple of 93854 and 93861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93854 and 93861, than apply into the LCM equation.

GCF(93854,93861) = 1
LCM(93854,93861) = ( 93854 × 93861) / 1
LCM(93854,93861) = 8809230294 / 1
LCM(93854,93861) = 8809230294

Least Common Multiple (LCM) of 93854 and 93861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93854 and 93861. First we will calculate the prime factors of 93854 and 93861.

Prime Factorization of 93854

Prime factors of 93854 are 2, 167, 281. Prime factorization of 93854 in exponential form is:

93854 = 21 × 1671 × 2811

Prime Factorization of 93861

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

93861 = 32 × 104291

Now multiplying the highest exponent prime factors to calculate the LCM of 93854 and 93861.

LCM(93854,93861) = 21 × 1671 × 2811 × 32 × 104291
LCM(93854,93861) = 8809230294