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What is the Least Common Multiple of 98081 and 98086?

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 98081 and 98086 is 9620372966.

LCM(98081,98086) = 9620372966

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Least Common Multiple of 98081 and 98086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98081 and 98086, than apply into the LCM equation.

GCF(98081,98086) = 1
LCM(98081,98086) = ( 98081 × 98086) / 1
LCM(98081,98086) = 9620372966 / 1
LCM(98081,98086) = 9620372966

Least Common Multiple (LCM) of 98081 and 98086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98081 and 98086. First we will calculate the prime factors of 98081 and 98086.

Prime Factorization of 98081

Prime factors of 98081 are 98081. Prime factorization of 98081 in exponential form is:

98081 = 980811

Prime Factorization of 98086

Prime factors of 98086 are 2, 49043. Prime factorization of 98086 in exponential form is:

98086 = 21 × 490431

Now multiplying the highest exponent prime factors to calculate the LCM of 98081 and 98086.

LCM(98081,98086) = 980811 × 21 × 490431
LCM(98081,98086) = 9620372966