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What is the Least Common Multiple of 98682 and 98695?

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 98682 and 98695 is 9739419990.

LCM(98682,98695) = 9739419990

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Least Common Multiple of 98682 and 98695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98682 and 98695, than apply into the LCM equation.

GCF(98682,98695) = 1
LCM(98682,98695) = ( 98682 × 98695) / 1
LCM(98682,98695) = 9739419990 / 1
LCM(98682,98695) = 9739419990

Least Common Multiple (LCM) of 98682 and 98695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98682 and 98695. First we will calculate the prime factors of 98682 and 98695.

Prime Factorization of 98682

Prime factors of 98682 are 2, 3, 16447. Prime factorization of 98682 in exponential form is:

98682 = 21 × 31 × 164471

Prime Factorization of 98695

Prime factors of 98695 are 5, 19739. Prime factorization of 98695 in exponential form is:

98695 = 51 × 197391

Now multiplying the highest exponent prime factors to calculate the LCM of 98682 and 98695.

LCM(98682,98695) = 21 × 31 × 164471 × 51 × 197391
LCM(98682,98695) = 9739419990