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What is the Least Common Multiple of 98843 and 98859?

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 98843 and 98859 is 9771520137.

LCM(98843,98859) = 9771520137

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Least Common Multiple of 98843 and 98859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98843 and 98859, than apply into the LCM equation.

GCF(98843,98859) = 1
LCM(98843,98859) = ( 98843 × 98859) / 1
LCM(98843,98859) = 9771520137 / 1
LCM(98843,98859) = 9771520137

Least Common Multiple (LCM) of 98843 and 98859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98843 and 98859. First we will calculate the prime factors of 98843 and 98859.

Prime Factorization of 98843

Prime factors of 98843 are 97, 1019. Prime factorization of 98843 in exponential form is:

98843 = 971 × 10191

Prime Factorization of 98859

Prime factors of 98859 are 3, 31, 1063. Prime factorization of 98859 in exponential form is:

98859 = 31 × 311 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 98843 and 98859.

LCM(98843,98859) = 971 × 10191 × 31 × 311 × 10631
LCM(98843,98859) = 9771520137