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What is the Least Common Multiple of 98779 and 98786?

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 98786 is 9757982294.

LCM(98779,98786) = 9757982294

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Least Common Multiple of 98779 and 98786 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 98786, than apply into the LCM equation.

GCF(98779,98786) = 1
LCM(98779,98786) = ( 98779 × 98786) / 1
LCM(98779,98786) = 9757982294 / 1
LCM(98779,98786) = 9757982294

Least Common Multiple (LCM) of 98779 and 98786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98779 and 98786. First we will calculate the prime factors of 98779 and 98786.

Prime Factorization of 98779

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

98779 = 987791

Prime Factorization of 98786

Prime factors of 98786 are 2, 49393. Prime factorization of 98786 in exponential form is:

98786 = 21 × 493931

Now multiplying the highest exponent prime factors to calculate the LCM of 98779 and 98786.

LCM(98779,98786) = 987791 × 21 × 493931
LCM(98779,98786) = 9757982294