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What is the Least Common Multiple of 79682 and 79694?

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 79682 and 79694 is 3175088654.

LCM(79682,79694) = 3175088654

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Least Common Multiple of 79682 and 79694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79682 and 79694, than apply into the LCM equation.

GCF(79682,79694) = 2
LCM(79682,79694) = ( 79682 × 79694) / 2
LCM(79682,79694) = 6350177308 / 2
LCM(79682,79694) = 3175088654

Least Common Multiple (LCM) of 79682 and 79694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79682 and 79694. First we will calculate the prime factors of 79682 and 79694.

Prime Factorization of 79682

Prime factors of 79682 are 2, 39841. Prime factorization of 79682 in exponential form is:

79682 = 21 × 398411

Prime Factorization of 79694

Prime factors of 79694 are 2, 39847. Prime factorization of 79694 in exponential form is:

79694 = 21 × 398471

Now multiplying the highest exponent prime factors to calculate the LCM of 79682 and 79694.

LCM(79682,79694) = 21 × 398411 × 398471
LCM(79682,79694) = 3175088654