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What is the Least Common Multiple of 98786 and 98799?

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 98786 and 98799 is 9759958014.

LCM(98786,98799) = 9759958014

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Least Common Multiple of 98786 and 98799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98786 and 98799, than apply into the LCM equation.

GCF(98786,98799) = 1
LCM(98786,98799) = ( 98786 × 98799) / 1
LCM(98786,98799) = 9759958014 / 1
LCM(98786,98799) = 9759958014

Least Common Multiple (LCM) of 98786 and 98799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98786 and 98799. First we will calculate the prime factors of 98786 and 98799.

Prime Factorization of 98786

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

98786 = 21 × 493931

Prime Factorization of 98799

Prime factors of 98799 are 3, 32933. Prime factorization of 98799 in exponential form is:

98799 = 31 × 329331

Now multiplying the highest exponent prime factors to calculate the LCM of 98786 and 98799.

LCM(98786,98799) = 21 × 493931 × 31 × 329331
LCM(98786,98799) = 9759958014