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What is the Least Common Multiple of 69779 and 69794?

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 69779 and 69794 is 4870155526.

LCM(69779,69794) = 4870155526

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Least Common Multiple of 69779 and 69794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69779 and 69794, than apply into the LCM equation.

GCF(69779,69794) = 1
LCM(69779,69794) = ( 69779 × 69794) / 1
LCM(69779,69794) = 4870155526 / 1
LCM(69779,69794) = 4870155526

Least Common Multiple (LCM) of 69779 and 69794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69779 and 69794. First we will calculate the prime factors of 69779 and 69794.

Prime Factorization of 69779

Prime factors of 69779 are 69779. Prime factorization of 69779 in exponential form is:

69779 = 697791

Prime Factorization of 69794

Prime factors of 69794 are 2, 34897. Prime factorization of 69794 in exponential form is:

69794 = 21 × 348971

Now multiplying the highest exponent prime factors to calculate the LCM of 69779 and 69794.

LCM(69779,69794) = 697791 × 21 × 348971
LCM(69779,69794) = 4870155526