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What is the Least Common Multiple of 98779 and 98797?

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 98779 and 98797 is 9759068863.

LCM(98779,98797) = 9759068863

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Least Common Multiple of 98779 and 98797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98779 and 98797, than apply into the LCM equation.

GCF(98779,98797) = 1
LCM(98779,98797) = ( 98779 × 98797) / 1
LCM(98779,98797) = 9759068863 / 1
LCM(98779,98797) = 9759068863

Least Common Multiple (LCM) of 98779 and 98797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98779 and 98797. First we will calculate the prime factors of 98779 and 98797.

Prime Factorization of 98779

Prime factors of 98779 are 98779. Prime factorization of 98779 in exponential form is:

98779 = 987791

Prime Factorization of 98797

Prime factors of 98797 are 31, 3187. Prime factorization of 98797 in exponential form is:

98797 = 311 × 31871

Now multiplying the highest exponent prime factors to calculate the LCM of 98779 and 98797.

LCM(98779,98797) = 987791 × 311 × 31871
LCM(98779,98797) = 9759068863