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What is the Least Common Multiple of 98005 and 98019?

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 98005 and 98019 is 9606352095.

LCM(98005,98019) = 9606352095

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Least Common Multiple of 98005 and 98019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98005 and 98019, than apply into the LCM equation.

GCF(98005,98019) = 1
LCM(98005,98019) = ( 98005 × 98019) / 1
LCM(98005,98019) = 9606352095 / 1
LCM(98005,98019) = 9606352095

Least Common Multiple (LCM) of 98005 and 98019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98005 and 98019. First we will calculate the prime factors of 98005 and 98019.

Prime Factorization of 98005

Prime factors of 98005 are 5, 17, 1153. Prime factorization of 98005 in exponential form is:

98005 = 51 × 171 × 11531

Prime Factorization of 98019

Prime factors of 98019 are 3, 10891. Prime factorization of 98019 in exponential form is:

98019 = 32 × 108911

Now multiplying the highest exponent prime factors to calculate the LCM of 98005 and 98019.

LCM(98005,98019) = 51 × 171 × 11531 × 32 × 108911
LCM(98005,98019) = 9606352095