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What is the Least Common Multiple of 98873 and 98891?

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 98873 and 98891 is 9777649843.

LCM(98873,98891) = 9777649843

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Least Common Multiple of 98873 and 98891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98873 and 98891, than apply into the LCM equation.

GCF(98873,98891) = 1
LCM(98873,98891) = ( 98873 × 98891) / 1
LCM(98873,98891) = 9777649843 / 1
LCM(98873,98891) = 9777649843

Least Common Multiple (LCM) of 98873 and 98891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98873 and 98891. First we will calculate the prime factors of 98873 and 98891.

Prime Factorization of 98873

Prime factors of 98873 are 98873. Prime factorization of 98873 in exponential form is:

98873 = 988731

Prime Factorization of 98891

Prime factors of 98891 are 13, 7607. Prime factorization of 98891 in exponential form is:

98891 = 131 × 76071

Now multiplying the highest exponent prime factors to calculate the LCM of 98873 and 98891.

LCM(98873,98891) = 988731 × 131 × 76071
LCM(98873,98891) = 9777649843