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What is the Least Common Multiple of 98627 and 98647?

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 98627 and 98647 is 9729257669.

LCM(98627,98647) = 9729257669

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Least Common Multiple of 98627 and 98647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98627 and 98647, than apply into the LCM equation.

GCF(98627,98647) = 1
LCM(98627,98647) = ( 98627 × 98647) / 1
LCM(98627,98647) = 9729257669 / 1
LCM(98627,98647) = 9729257669

Least Common Multiple (LCM) of 98627 and 98647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98627 and 98647. First we will calculate the prime factors of 98627 and 98647.

Prime Factorization of 98627

Prime factors of 98627 are 98627. Prime factorization of 98627 in exponential form is:

98627 = 986271

Prime Factorization of 98647

Prime factors of 98647 are 23, 4289. Prime factorization of 98647 in exponential form is:

98647 = 231 × 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 98627 and 98647.

LCM(98627,98647) = 986271 × 231 × 42891
LCM(98627,98647) = 9729257669