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What is the Least Common Multiple of 98881 and 98899?

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 98881 and 98899 is 9779232019.

LCM(98881,98899) = 9779232019

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Least Common Multiple of 98881 and 98899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98881 and 98899, than apply into the LCM equation.

GCF(98881,98899) = 1
LCM(98881,98899) = ( 98881 × 98899) / 1
LCM(98881,98899) = 9779232019 / 1
LCM(98881,98899) = 9779232019

Least Common Multiple (LCM) of 98881 and 98899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98881 and 98899. First we will calculate the prime factors of 98881 and 98899.

Prime Factorization of 98881

Prime factors of 98881 are 61, 1621. Prime factorization of 98881 in exponential form is:

98881 = 611 × 16211

Prime Factorization of 98899

Prime factors of 98899 are 98899. Prime factorization of 98899 in exponential form is:

98899 = 988991

Now multiplying the highest exponent prime factors to calculate the LCM of 98881 and 98899.

LCM(98881,98899) = 611 × 16211 × 988991
LCM(98881,98899) = 9779232019