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What is the Least Common Multiple of 98833 and 98841?

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 98833 and 98841 is 9768752553.

LCM(98833,98841) = 9768752553

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Least Common Multiple of 98833 and 98841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98833 and 98841, than apply into the LCM equation.

GCF(98833,98841) = 1
LCM(98833,98841) = ( 98833 × 98841) / 1
LCM(98833,98841) = 9768752553 / 1
LCM(98833,98841) = 9768752553

Least Common Multiple (LCM) of 98833 and 98841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98833 and 98841. First we will calculate the prime factors of 98833 and 98841.

Prime Factorization of 98833

Prime factors of 98833 are 7, 2017. Prime factorization of 98833 in exponential form is:

98833 = 72 × 20171

Prime Factorization of 98841

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

98841 = 31 × 471 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 98833 and 98841.

LCM(98833,98841) = 72 × 20171 × 31 × 471 × 7011
LCM(98833,98841) = 9768752553