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What is the Least Common Multiple of 98841 and 98849?

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 98841 and 98849 is 9770334009.

LCM(98841,98849) = 9770334009

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Least Common Multiple of 98841 and 98849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98841 and 98849, than apply into the LCM equation.

GCF(98841,98849) = 1
LCM(98841,98849) = ( 98841 × 98849) / 1
LCM(98841,98849) = 9770334009 / 1
LCM(98841,98849) = 9770334009

Least Common Multiple (LCM) of 98841 and 98849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98841 and 98849. First we will calculate the prime factors of 98841 and 98849.

Prime Factorization of 98841

Prime factors of 98841 are 3, 47, 701. Prime factorization of 98841 in exponential form is:

98841 = 31 × 471 × 7011

Prime Factorization of 98849

Prime factors of 98849 are 98849. Prime factorization of 98849 in exponential form is:

98849 = 988491

Now multiplying the highest exponent prime factors to calculate the LCM of 98841 and 98849.

LCM(98841,98849) = 31 × 471 × 7011 × 988491
LCM(98841,98849) = 9770334009