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What is the Least Common Multiple of 98647 and 98662?

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 98647 and 98662 is 9732710314.

LCM(98647,98662) = 9732710314

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Least Common Multiple of 98647 and 98662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98647 and 98662, than apply into the LCM equation.

GCF(98647,98662) = 1
LCM(98647,98662) = ( 98647 × 98662) / 1
LCM(98647,98662) = 9732710314 / 1
LCM(98647,98662) = 9732710314

Least Common Multiple (LCM) of 98647 and 98662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98647 and 98662. First we will calculate the prime factors of 98647 and 98662.

Prime Factorization of 98647

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

98647 = 231 × 42891

Prime Factorization of 98662

Prime factors of 98662 are 2, 49331. Prime factorization of 98662 in exponential form is:

98662 = 21 × 493311

Now multiplying the highest exponent prime factors to calculate the LCM of 98647 and 98662.

LCM(98647,98662) = 231 × 42891 × 21 × 493311
LCM(98647,98662) = 9732710314