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What is the Least Common Multiple of 98881 and 98898?

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 98898 is 9779133138.

LCM(98881,98898) = 9779133138

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Least Common Multiple of 98881 and 98898 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 98898, than apply into the LCM equation.

GCF(98881,98898) = 1
LCM(98881,98898) = ( 98881 × 98898) / 1
LCM(98881,98898) = 9779133138 / 1
LCM(98881,98898) = 9779133138

Least Common Multiple (LCM) of 98881 and 98898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98881 and 98898. First we will calculate the prime factors of 98881 and 98898.

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 98898

Prime factors of 98898 are 2, 3, 53, 311. Prime factorization of 98898 in exponential form is:

98898 = 21 × 31 × 531 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 98881 and 98898.

LCM(98881,98898) = 611 × 16211 × 21 × 31 × 531 × 3111
LCM(98881,98898) = 9779133138