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What is the Least Common Multiple of 98579 and 98587?

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 98579 and 98587 is 9718607873.

LCM(98579,98587) = 9718607873

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Least Common Multiple of 98579 and 98587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98579 and 98587, than apply into the LCM equation.

GCF(98579,98587) = 1
LCM(98579,98587) = ( 98579 × 98587) / 1
LCM(98579,98587) = 9718607873 / 1
LCM(98579,98587) = 9718607873

Least Common Multiple (LCM) of 98579 and 98587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98579 and 98587. First we will calculate the prime factors of 98579 and 98587.

Prime Factorization of 98579

Prime factors of 98579 are 13, 7583. Prime factorization of 98579 in exponential form is:

98579 = 131 × 75831

Prime Factorization of 98587

Prime factors of 98587 are 311, 317. Prime factorization of 98587 in exponential form is:

98587 = 3111 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 98579 and 98587.

LCM(98579,98587) = 131 × 75831 × 3111 × 3171
LCM(98579,98587) = 9718607873