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What is the Least Common Multiple of 9801 and 9814?

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 9801 and 9814 is 96187014.

LCM(9801,9814) = 96187014

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Least Common Multiple of 9801 and 9814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9801 and 9814, than apply into the LCM equation.

GCF(9801,9814) = 1
LCM(9801,9814) = ( 9801 × 9814) / 1
LCM(9801,9814) = 96187014 / 1
LCM(9801,9814) = 96187014

Least Common Multiple (LCM) of 9801 and 9814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9814. First we will calculate the prime factors of 9801 and 9814.

Prime Factorization of 9801

Prime factors of 9801 are 3, 11. Prime factorization of 9801 in exponential form is:

9801 = 34 × 112

Prime Factorization of 9814

Prime factors of 9814 are 2, 7, 701. Prime factorization of 9814 in exponential form is:

9814 = 21 × 71 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9814.

LCM(9801,9814) = 34 × 112 × 21 × 71 × 7011
LCM(9801,9814) = 96187014