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What is the Least Common Multiple of 98836 and 98841?

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 98836 and 98841 is 9769049076.

LCM(98836,98841) = 9769049076

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Least Common Multiple of 98836 and 98841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98836 and 98841, than apply into the LCM equation.

GCF(98836,98841) = 1
LCM(98836,98841) = ( 98836 × 98841) / 1
LCM(98836,98841) = 9769049076 / 1
LCM(98836,98841) = 9769049076

Least Common Multiple (LCM) of 98836 and 98841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98836 and 98841. First we will calculate the prime factors of 98836 and 98841.

Prime Factorization of 98836

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

98836 = 22 × 247091

Prime Factorization of 98841

Prime factors of 98841 are 3, 47, 701. Prime factorization of 98841 in exponential form is:

98841 = 31 × 471 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 98836 and 98841.

LCM(98836,98841) = 22 × 247091 × 31 × 471 × 7011
LCM(98836,98841) = 9769049076