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What is the Least Common Multiple of 98819 and 98836?

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 98819 and 98836 is 9766874684.

LCM(98819,98836) = 9766874684

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Least Common Multiple of 98819 and 98836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98819 and 98836, than apply into the LCM equation.

GCF(98819,98836) = 1
LCM(98819,98836) = ( 98819 × 98836) / 1
LCM(98819,98836) = 9766874684 / 1
LCM(98819,98836) = 9766874684

Least Common Multiple (LCM) of 98819 and 98836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98819 and 98836. First we will calculate the prime factors of 98819 and 98836.

Prime Factorization of 98819

Prime factors of 98819 are 7, 19, 743. Prime factorization of 98819 in exponential form is:

98819 = 71 × 191 × 7431

Prime Factorization of 98836

Prime factors of 98836 are 2, 24709. Prime factorization of 98836 in exponential form is:

98836 = 22 × 247091

Now multiplying the highest exponent prime factors to calculate the LCM of 98819 and 98836.

LCM(98819,98836) = 71 × 191 × 7431 × 22 × 247091
LCM(98819,98836) = 9766874684