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What is the Least Common Multiple of 98863 and 98882?

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 98863 and 98882 is 9775771166.

LCM(98863,98882) = 9775771166

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Least Common Multiple of 98863 and 98882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98863 and 98882, than apply into the LCM equation.

GCF(98863,98882) = 1
LCM(98863,98882) = ( 98863 × 98882) / 1
LCM(98863,98882) = 9775771166 / 1
LCM(98863,98882) = 9775771166

Least Common Multiple (LCM) of 98863 and 98882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98863 and 98882. First we will calculate the prime factors of 98863 and 98882.

Prime Factorization of 98863

Prime factors of 98863 are 109, 907. Prime factorization of 98863 in exponential form is:

98863 = 1091 × 9071

Prime Factorization of 98882

Prime factors of 98882 are 2, 7, 1009. Prime factorization of 98882 in exponential form is:

98882 = 21 × 72 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 98863 and 98882.

LCM(98863,98882) = 1091 × 9071 × 21 × 72 × 10091
LCM(98863,98882) = 9775771166