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What is the Least Common Multiple of 98522 and 98529?

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 98522 and 98529 is 9707274138.

LCM(98522,98529) = 9707274138

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Least Common Multiple of 98522 and 98529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98522 and 98529, than apply into the LCM equation.

GCF(98522,98529) = 1
LCM(98522,98529) = ( 98522 × 98529) / 1
LCM(98522,98529) = 9707274138 / 1
LCM(98522,98529) = 9707274138

Least Common Multiple (LCM) of 98522 and 98529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98522 and 98529. First we will calculate the prime factors of 98522 and 98529.

Prime Factorization of 98522

Prime factors of 98522 are 2, 49261. Prime factorization of 98522 in exponential form is:

98522 = 21 × 492611

Prime Factorization of 98529

Prime factors of 98529 are 3, 32843. Prime factorization of 98529 in exponential form is:

98529 = 31 × 328431

Now multiplying the highest exponent prime factors to calculate the LCM of 98522 and 98529.

LCM(98522,98529) = 21 × 492611 × 31 × 328431
LCM(98522,98529) = 9707274138