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What is the Least Common Multiple of 7786 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 7786 and 7806 is 30388758.

LCM(7786,7806) = 30388758

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Least Common Multiple of 7786 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 7786 and 7806, than apply into the LCM equation.

GCF(7786,7806) = 2
LCM(7786,7806) = ( 7786 × 7806) / 2
LCM(7786,7806) = 60777516 / 2
LCM(7786,7806) = 30388758

Least Common Multiple (LCM) of 7786 and 7806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7786 and 7806. First we will calculate the prime factors of 7786 and 7806.

Prime Factorization of 7786

Prime factors of 7786 are 2, 17, 229. Prime factorization of 7786 in exponential form is:

7786 = 21 × 171 × 2291

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 7786 and 7806.

LCM(7786,7806) = 21 × 171 × 2291 × 31 × 13011
LCM(7786,7806) = 30388758