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What is the Least Common Multiple of 98665 and 98681?

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 98665 and 98681 is 9736360865.

LCM(98665,98681) = 9736360865

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Least Common Multiple of 98665 and 98681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98665 and 98681, than apply into the LCM equation.

GCF(98665,98681) = 1
LCM(98665,98681) = ( 98665 × 98681) / 1
LCM(98665,98681) = 9736360865 / 1
LCM(98665,98681) = 9736360865

Least Common Multiple (LCM) of 98665 and 98681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98665 and 98681. First we will calculate the prime factors of 98665 and 98681.

Prime Factorization of 98665

Prime factors of 98665 are 5, 7, 2819. Prime factorization of 98665 in exponential form is:

98665 = 51 × 71 × 28191

Prime Factorization of 98681

Prime factors of 98681 are 11, 8971. Prime factorization of 98681 in exponential form is:

98681 = 111 × 89711

Now multiplying the highest exponent prime factors to calculate the LCM of 98665 and 98681.

LCM(98665,98681) = 51 × 71 × 28191 × 111 × 89711
LCM(98665,98681) = 9736360865