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What is the Least Common Multiple of 9793 and 9807?

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 9793 and 9807 is 13719993.

LCM(9793,9807) = 13719993

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Least Common Multiple of 9793 and 9807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9793 and 9807, than apply into the LCM equation.

GCF(9793,9807) = 7
LCM(9793,9807) = ( 9793 × 9807) / 7
LCM(9793,9807) = 96039951 / 7
LCM(9793,9807) = 13719993

Least Common Multiple (LCM) of 9793 and 9807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9793 and 9807. First we will calculate the prime factors of 9793 and 9807.

Prime Factorization of 9793

Prime factors of 9793 are 7, 1399. Prime factorization of 9793 in exponential form is:

9793 = 71 × 13991

Prime Factorization of 9807

Prime factors of 9807 are 3, 7, 467. Prime factorization of 9807 in exponential form is:

9807 = 31 × 71 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 9793 and 9807.

LCM(9793,9807) = 71 × 13991 × 31 × 4671
LCM(9793,9807) = 13719993