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What is the Least Common Multiple of 98807 and 98826?

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 98807 and 98826 is 9764700582.

LCM(98807,98826) = 9764700582

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Least Common Multiple of 98807 and 98826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98807 and 98826, than apply into the LCM equation.

GCF(98807,98826) = 1
LCM(98807,98826) = ( 98807 × 98826) / 1
LCM(98807,98826) = 9764700582 / 1
LCM(98807,98826) = 9764700582

Least Common Multiple (LCM) of 98807 and 98826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98807 and 98826. First we will calculate the prime factors of 98807 and 98826.

Prime Factorization of 98807

Prime factors of 98807 are 98807. Prime factorization of 98807 in exponential form is:

98807 = 988071

Prime Factorization of 98826

Prime factors of 98826 are 2, 3, 7, 13, 181. Prime factorization of 98826 in exponential form is:

98826 = 21 × 31 × 71 × 131 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 98807 and 98826.

LCM(98807,98826) = 988071 × 21 × 31 × 71 × 131 × 1811
LCM(98807,98826) = 9764700582