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What is the Least Common Multiple of 98686 and 98691?

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 98686 and 98691 is 9739420026.

LCM(98686,98691) = 9739420026

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Least Common Multiple of 98686 and 98691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98686 and 98691, than apply into the LCM equation.

GCF(98686,98691) = 1
LCM(98686,98691) = ( 98686 × 98691) / 1
LCM(98686,98691) = 9739420026 / 1
LCM(98686,98691) = 9739420026

Least Common Multiple (LCM) of 98686 and 98691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98686 and 98691. First we will calculate the prime factors of 98686 and 98691.

Prime Factorization of 98686

Prime factors of 98686 are 2, 7, 19, 53. Prime factorization of 98686 in exponential form is:

98686 = 21 × 72 × 191 × 531

Prime Factorization of 98691

Prime factors of 98691 are 3, 67, 491. Prime factorization of 98691 in exponential form is:

98691 = 31 × 671 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 98686 and 98691.

LCM(98686,98691) = 21 × 72 × 191 × 531 × 31 × 671 × 4911
LCM(98686,98691) = 9739420026