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What is the Least Common Multiple of 9101 and 9116?

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 9101 and 9116 is 82964716.

LCM(9101,9116) = 82964716

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Least Common Multiple of 9101 and 9116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9101 and 9116, than apply into the LCM equation.

GCF(9101,9116) = 1
LCM(9101,9116) = ( 9101 × 9116) / 1
LCM(9101,9116) = 82964716 / 1
LCM(9101,9116) = 82964716

Least Common Multiple (LCM) of 9101 and 9116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9101 and 9116. First we will calculate the prime factors of 9101 and 9116.

Prime Factorization of 9101

Prime factors of 9101 are 19, 479. Prime factorization of 9101 in exponential form is:

9101 = 191 × 4791

Prime Factorization of 9116

Prime factors of 9116 are 2, 43, 53. Prime factorization of 9116 in exponential form is:

9116 = 22 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9101 and 9116.

LCM(9101,9116) = 191 × 4791 × 22 × 431 × 531
LCM(9101,9116) = 82964716