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What is the Least Common Multiple of 98447 and 98466?

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 98447 and 98466 is 9693682302.

LCM(98447,98466) = 9693682302

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Least Common Multiple of 98447 and 98466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98447 and 98466, than apply into the LCM equation.

GCF(98447,98466) = 1
LCM(98447,98466) = ( 98447 × 98466) / 1
LCM(98447,98466) = 9693682302 / 1
LCM(98447,98466) = 9693682302

Least Common Multiple (LCM) of 98447 and 98466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98447 and 98466. First we will calculate the prime factors of 98447 and 98466.

Prime Factorization of 98447

Prime factors of 98447 are 17, 5791. Prime factorization of 98447 in exponential form is:

98447 = 171 × 57911

Prime Factorization of 98466

Prime factors of 98466 are 2, 3, 16411. Prime factorization of 98466 in exponential form is:

98466 = 21 × 31 × 164111

Now multiplying the highest exponent prime factors to calculate the LCM of 98447 and 98466.

LCM(98447,98466) = 171 × 57911 × 21 × 31 × 164111
LCM(98447,98466) = 9693682302