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What is the Least Common Multiple of 98566 and 98571?

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 98566 and 98571 is 9715749186.

LCM(98566,98571) = 9715749186

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Least Common Multiple of 98566 and 98571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98566 and 98571, than apply into the LCM equation.

GCF(98566,98571) = 1
LCM(98566,98571) = ( 98566 × 98571) / 1
LCM(98566,98571) = 9715749186 / 1
LCM(98566,98571) = 9715749186

Least Common Multiple (LCM) of 98566 and 98571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98566 and 98571. First we will calculate the prime factors of 98566 and 98571.

Prime Factorization of 98566

Prime factors of 98566 are 2, 13, 17, 223. Prime factorization of 98566 in exponential form is:

98566 = 21 × 131 × 171 × 2231

Prime Factorization of 98571

Prime factors of 98571 are 3, 11, 29, 103. Prime factorization of 98571 in exponential form is:

98571 = 31 × 111 × 291 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 98566 and 98571.

LCM(98566,98571) = 21 × 131 × 171 × 2231 × 31 × 111 × 291 × 1031
LCM(98566,98571) = 9715749186