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What is the Least Common Multiple of 98899 and 98910?

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 98899 and 98910 is 9782100090.

LCM(98899,98910) = 9782100090

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Least Common Multiple of 98899 and 98910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98899 and 98910, than apply into the LCM equation.

GCF(98899,98910) = 1
LCM(98899,98910) = ( 98899 × 98910) / 1
LCM(98899,98910) = 9782100090 / 1
LCM(98899,98910) = 9782100090

Least Common Multiple (LCM) of 98899 and 98910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98899 and 98910. First we will calculate the prime factors of 98899 and 98910.

Prime Factorization of 98899

Prime factors of 98899 are 98899. Prime factorization of 98899 in exponential form is:

98899 = 988991

Prime Factorization of 98910

Prime factors of 98910 are 2, 3, 5, 7, 157. Prime factorization of 98910 in exponential form is:

98910 = 21 × 32 × 51 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 98899 and 98910.

LCM(98899,98910) = 988991 × 21 × 32 × 51 × 71 × 1571
LCM(98899,98910) = 9782100090