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What is the Least Common Multiple of 96682 and 96691?

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 96682 and 96691 is 9348279262.

LCM(96682,96691) = 9348279262

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Least Common Multiple of 96682 and 96691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96682 and 96691, than apply into the LCM equation.

GCF(96682,96691) = 1
LCM(96682,96691) = ( 96682 × 96691) / 1
LCM(96682,96691) = 9348279262 / 1
LCM(96682,96691) = 9348279262

Least Common Multiple (LCM) of 96682 and 96691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96682 and 96691. First we will calculate the prime factors of 96682 and 96691.

Prime Factorization of 96682

Prime factors of 96682 are 2, 48341. Prime factorization of 96682 in exponential form is:

96682 = 21 × 483411

Prime Factorization of 96691

Prime factors of 96691 are 7, 19, 727. Prime factorization of 96691 in exponential form is:

96691 = 71 × 191 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 96682 and 96691.

LCM(96682,96691) = 21 × 483411 × 71 × 191 × 7271
LCM(96682,96691) = 9348279262