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What is the Least Common Multiple of 98858 and 98873?

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 98858 and 98873 is 9774387034.

LCM(98858,98873) = 9774387034

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Least Common Multiple of 98858 and 98873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98858 and 98873, than apply into the LCM equation.

GCF(98858,98873) = 1
LCM(98858,98873) = ( 98858 × 98873) / 1
LCM(98858,98873) = 9774387034 / 1
LCM(98858,98873) = 9774387034

Least Common Multiple (LCM) of 98858 and 98873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98858 and 98873. First we will calculate the prime factors of 98858 and 98873.

Prime Factorization of 98858

Prime factors of 98858 are 2, 49429. Prime factorization of 98858 in exponential form is:

98858 = 21 × 494291

Prime Factorization of 98873

Prime factors of 98873 are 98873. Prime factorization of 98873 in exponential form is:

98873 = 988731

Now multiplying the highest exponent prime factors to calculate the LCM of 98858 and 98873.

LCM(98858,98873) = 21 × 494291 × 988731
LCM(98858,98873) = 9774387034