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What is the Least Common Multiple of 84776 and 84794?

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 84776 and 84794 is 3594248072.

LCM(84776,84794) = 3594248072

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Least Common Multiple of 84776 and 84794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84776 and 84794, than apply into the LCM equation.

GCF(84776,84794) = 2
LCM(84776,84794) = ( 84776 × 84794) / 2
LCM(84776,84794) = 7188496144 / 2
LCM(84776,84794) = 3594248072

Least Common Multiple (LCM) of 84776 and 84794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84776 and 84794. First we will calculate the prime factors of 84776 and 84794.

Prime Factorization of 84776

Prime factors of 84776 are 2, 10597. Prime factorization of 84776 in exponential form is:

84776 = 23 × 105971

Prime Factorization of 84794

Prime factors of 84794 are 2, 42397. Prime factorization of 84794 in exponential form is:

84794 = 21 × 423971

Now multiplying the highest exponent prime factors to calculate the LCM of 84776 and 84794.

LCM(84776,84794) = 23 × 105971 × 423971
LCM(84776,84794) = 3594248072