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What is the Least Common Multiple of 9098 and 9107?

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 9098 and 9107 is 82855486.

LCM(9098,9107) = 82855486

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Least Common Multiple of 9098 and 9107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9098 and 9107, than apply into the LCM equation.

GCF(9098,9107) = 1
LCM(9098,9107) = ( 9098 × 9107) / 1
LCM(9098,9107) = 82855486 / 1
LCM(9098,9107) = 82855486

Least Common Multiple (LCM) of 9098 and 9107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9098 and 9107. First we will calculate the prime factors of 9098 and 9107.

Prime Factorization of 9098

Prime factors of 9098 are 2, 4549. Prime factorization of 9098 in exponential form is:

9098 = 21 × 45491

Prime Factorization of 9107

Prime factors of 9107 are 7, 1301. Prime factorization of 9107 in exponential form is:

9107 = 71 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 9098 and 9107.

LCM(9098,9107) = 21 × 45491 × 71 × 13011
LCM(9098,9107) = 82855486