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What is the Least Common Multiple of 9855 and 9868?

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 9855 and 9868 is 97249140.

LCM(9855,9868) = 97249140

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Least Common Multiple of 9855 and 9868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9855 and 9868, than apply into the LCM equation.

GCF(9855,9868) = 1
LCM(9855,9868) = ( 9855 × 9868) / 1
LCM(9855,9868) = 97249140 / 1
LCM(9855,9868) = 97249140

Least Common Multiple (LCM) of 9855 and 9868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9855 and 9868. First we will calculate the prime factors of 9855 and 9868.

Prime Factorization of 9855

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

9855 = 33 × 51 × 731

Prime Factorization of 9868

Prime factors of 9868 are 2, 2467. Prime factorization of 9868 in exponential form is:

9868 = 22 × 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 9855 and 9868.

LCM(9855,9868) = 33 × 51 × 731 × 22 × 24671
LCM(9855,9868) = 97249140