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What is the Least Common Multiple of 98823 and 98839?

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 98823 and 98839 is 9767566497.

LCM(98823,98839) = 9767566497

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Least Common Multiple of 98823 and 98839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98823 and 98839, than apply into the LCM equation.

GCF(98823,98839) = 1
LCM(98823,98839) = ( 98823 × 98839) / 1
LCM(98823,98839) = 9767566497 / 1
LCM(98823,98839) = 9767566497

Least Common Multiple (LCM) of 98823 and 98839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98823 and 98839. First we will calculate the prime factors of 98823 and 98839.

Prime Factorization of 98823

Prime factors of 98823 are 3, 32941. Prime factorization of 98823 in exponential form is:

98823 = 31 × 329411

Prime Factorization of 98839

Prime factors of 98839 are 13, 7603. Prime factorization of 98839 in exponential form is:

98839 = 131 × 76031

Now multiplying the highest exponent prime factors to calculate the LCM of 98823 and 98839.

LCM(98823,98839) = 31 × 329411 × 131 × 76031
LCM(98823,98839) = 9767566497