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What is the Least Common Multiple of 9851 and 9855?

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 9851 and 9855 is 97081605.

LCM(9851,9855) = 97081605

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Least Common Multiple of 9851 and 9855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9851 and 9855, than apply into the LCM equation.

GCF(9851,9855) = 1
LCM(9851,9855) = ( 9851 × 9855) / 1
LCM(9851,9855) = 97081605 / 1
LCM(9851,9855) = 97081605

Least Common Multiple (LCM) of 9851 and 9855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9851 and 9855. First we will calculate the prime factors of 9851 and 9855.

Prime Factorization of 9851

Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:

9851 = 98511

Prime Factorization of 9855

Prime factors of 9855 are 3, 5, 73. Prime factorization of 9855 in exponential form is:

9855 = 33 × 51 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 9851 and 9855.

LCM(9851,9855) = 98511 × 33 × 51 × 731
LCM(9851,9855) = 97081605