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What is the Least Common Multiple of 98763 and 98782?

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 98763 and 98782 is 9756006666.

LCM(98763,98782) = 9756006666

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Least Common Multiple of 98763 and 98782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98763 and 98782, than apply into the LCM equation.

GCF(98763,98782) = 1
LCM(98763,98782) = ( 98763 × 98782) / 1
LCM(98763,98782) = 9756006666 / 1
LCM(98763,98782) = 9756006666

Least Common Multiple (LCM) of 98763 and 98782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98763 and 98782. First we will calculate the prime factors of 98763 and 98782.

Prime Factorization of 98763

Prime factors of 98763 are 3, 7, 4703. Prime factorization of 98763 in exponential form is:

98763 = 31 × 71 × 47031

Prime Factorization of 98782

Prime factors of 98782 are 2, 49391. Prime factorization of 98782 in exponential form is:

98782 = 21 × 493911

Now multiplying the highest exponent prime factors to calculate the LCM of 98763 and 98782.

LCM(98763,98782) = 31 × 71 × 47031 × 21 × 493911
LCM(98763,98782) = 9756006666