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What is the Least Common Multiple of 7793 and 7806?

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 7793 and 7806 is 60832158.

LCM(7793,7806) = 60832158

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Least Common Multiple of 7793 and 7806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7793 and 7806, than apply into the LCM equation.

GCF(7793,7806) = 1
LCM(7793,7806) = ( 7793 × 7806) / 1
LCM(7793,7806) = 60832158 / 1
LCM(7793,7806) = 60832158

Least Common Multiple (LCM) of 7793 and 7806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7793 and 7806. First we will calculate the prime factors of 7793 and 7806.

Prime Factorization of 7793

Prime factors of 7793 are 7793. Prime factorization of 7793 in exponential form is:

7793 = 77931

Prime Factorization of 7806

Prime factors of 7806 are 2, 3, 1301. Prime factorization of 7806 in exponential form is:

7806 = 21 × 31 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 7793 and 7806.

LCM(7793,7806) = 77931 × 21 × 31 × 13011
LCM(7793,7806) = 60832158