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What is the Least Common Multiple of 98581 and 98601?

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 98581 and 98601 is 9720185181.

LCM(98581,98601) = 9720185181

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Least Common Multiple of 98581 and 98601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98581 and 98601, than apply into the LCM equation.

GCF(98581,98601) = 1
LCM(98581,98601) = ( 98581 × 98601) / 1
LCM(98581,98601) = 9720185181 / 1
LCM(98581,98601) = 9720185181

Least Common Multiple (LCM) of 98581 and 98601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98581 and 98601. First we will calculate the prime factors of 98581 and 98601.

Prime Factorization of 98581

Prime factors of 98581 are 7, 14083. Prime factorization of 98581 in exponential form is:

98581 = 71 × 140831

Prime Factorization of 98601

Prime factors of 98601 are 3, 23, 1429. Prime factorization of 98601 in exponential form is:

98601 = 31 × 231 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 98581 and 98601.

LCM(98581,98601) = 71 × 140831 × 31 × 231 × 14291
LCM(98581,98601) = 9720185181