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What is the Least Common Multiple of 96886 and 96899?

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 96886 and 96899 is 9388156514.

LCM(96886,96899) = 9388156514

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Least Common Multiple of 96886 and 96899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96886 and 96899, than apply into the LCM equation.

GCF(96886,96899) = 1
LCM(96886,96899) = ( 96886 × 96899) / 1
LCM(96886,96899) = 9388156514 / 1
LCM(96886,96899) = 9388156514

Least Common Multiple (LCM) of 96886 and 96899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96886 and 96899. First we will calculate the prime factors of 96886 and 96899.

Prime Factorization of 96886

Prime factors of 96886 are 2, 193, 251. Prime factorization of 96886 in exponential form is:

96886 = 21 × 1931 × 2511

Prime Factorization of 96899

Prime factors of 96899 are 11, 23, 383. Prime factorization of 96899 in exponential form is:

96899 = 111 × 231 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 96886 and 96899.

LCM(96886,96899) = 21 × 1931 × 2511 × 111 × 231 × 3831
LCM(96886,96899) = 9388156514