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What is the Least Common Multiple of 98771 and 98775?

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 98771 and 98775 is 9756105525.

LCM(98771,98775) = 9756105525

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Least Common Multiple of 98771 and 98775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98771 and 98775, than apply into the LCM equation.

GCF(98771,98775) = 1
LCM(98771,98775) = ( 98771 × 98775) / 1
LCM(98771,98775) = 9756105525 / 1
LCM(98771,98775) = 9756105525

Least Common Multiple (LCM) of 98771 and 98775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98771 and 98775. First we will calculate the prime factors of 98771 and 98775.

Prime Factorization of 98771

Prime factors of 98771 are 43, 2297. Prime factorization of 98771 in exponential form is:

98771 = 431 × 22971

Prime Factorization of 98775

Prime factors of 98775 are 3, 5, 439. Prime factorization of 98775 in exponential form is:

98775 = 32 × 52 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 98771 and 98775.

LCM(98771,98775) = 431 × 22971 × 32 × 52 × 4391
LCM(98771,98775) = 9756105525