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What is the Least Common Multiple of 98181 and 98195?

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 98181 and 98195 is 9640883295.

LCM(98181,98195) = 9640883295

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Least Common Multiple of 98181 and 98195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98181 and 98195, than apply into the LCM equation.

GCF(98181,98195) = 1
LCM(98181,98195) = ( 98181 × 98195) / 1
LCM(98181,98195) = 9640883295 / 1
LCM(98181,98195) = 9640883295

Least Common Multiple (LCM) of 98181 and 98195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98181 and 98195. First we will calculate the prime factors of 98181 and 98195.

Prime Factorization of 98181

Prime factors of 98181 are 3, 10909. Prime factorization of 98181 in exponential form is:

98181 = 32 × 109091

Prime Factorization of 98195

Prime factors of 98195 are 5, 41, 479. Prime factorization of 98195 in exponential form is:

98195 = 51 × 411 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 98181 and 98195.

LCM(98181,98195) = 32 × 109091 × 51 × 411 × 4791
LCM(98181,98195) = 9640883295