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What is the Least Common Multiple of 98873 and 98877?

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 98873 and 98877 is 9776265621.

LCM(98873,98877) = 9776265621

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Least Common Multiple of 98873 and 98877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98873 and 98877, than apply into the LCM equation.

GCF(98873,98877) = 1
LCM(98873,98877) = ( 98873 × 98877) / 1
LCM(98873,98877) = 9776265621 / 1
LCM(98873,98877) = 9776265621

Least Common Multiple (LCM) of 98873 and 98877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98873 and 98877. First we will calculate the prime factors of 98873 and 98877.

Prime Factorization of 98873

Prime factors of 98873 are 98873. Prime factorization of 98873 in exponential form is:

98873 = 988731

Prime Factorization of 98877

Prime factors of 98877 are 3, 23, 1433. Prime factorization of 98877 in exponential form is:

98877 = 31 × 231 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 98873 and 98877.

LCM(98873,98877) = 988731 × 31 × 231 × 14331
LCM(98873,98877) = 9776265621