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What is the Least Common Multiple of 98789 and 98806?

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 98789 and 98806 is 9760945934.

LCM(98789,98806) = 9760945934

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Least Common Multiple of 98789 and 98806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98789 and 98806, than apply into the LCM equation.

GCF(98789,98806) = 1
LCM(98789,98806) = ( 98789 × 98806) / 1
LCM(98789,98806) = 9760945934 / 1
LCM(98789,98806) = 9760945934

Least Common Multiple (LCM) of 98789 and 98806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98789 and 98806. First we will calculate the prime factors of 98789 and 98806.

Prime Factorization of 98789

Prime factors of 98789 are 223, 443. Prime factorization of 98789 in exponential form is:

98789 = 2231 × 4431

Prime Factorization of 98806

Prime factors of 98806 are 2, 127, 389. Prime factorization of 98806 in exponential form is:

98806 = 21 × 1271 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 98789 and 98806.

LCM(98789,98806) = 2231 × 4431 × 21 × 1271 × 3891
LCM(98789,98806) = 9760945934