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What is the Least Common Multiple of 7798 and 7805?

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 7798 and 7805 is 8694770.

LCM(7798,7805) = 8694770

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Least Common Multiple of 7798 and 7805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7798 and 7805, than apply into the LCM equation.

GCF(7798,7805) = 7
LCM(7798,7805) = ( 7798 × 7805) / 7
LCM(7798,7805) = 60863390 / 7
LCM(7798,7805) = 8694770

Least Common Multiple (LCM) of 7798 and 7805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7798 and 7805. First we will calculate the prime factors of 7798 and 7805.

Prime Factorization of 7798

Prime factors of 7798 are 2, 7, 557. Prime factorization of 7798 in exponential form is:

7798 = 21 × 71 × 5571

Prime Factorization of 7805

Prime factors of 7805 are 5, 7, 223. Prime factorization of 7805 in exponential form is:

7805 = 51 × 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 7798 and 7805.

LCM(7798,7805) = 21 × 71 × 5571 × 51 × 2231
LCM(7798,7805) = 8694770