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What is the Least Common Multiple of 88859 and 88873?

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 88859 and 88873 is 7897165907.

LCM(88859,88873) = 7897165907

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Least Common Multiple of 88859 and 88873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88859 and 88873, than apply into the LCM equation.

GCF(88859,88873) = 1
LCM(88859,88873) = ( 88859 × 88873) / 1
LCM(88859,88873) = 7897165907 / 1
LCM(88859,88873) = 7897165907

Least Common Multiple (LCM) of 88859 and 88873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88859 and 88873. First we will calculate the prime factors of 88859 and 88873.

Prime Factorization of 88859

Prime factors of 88859 are 17, 5227. Prime factorization of 88859 in exponential form is:

88859 = 171 × 52271

Prime Factorization of 88873

Prime factors of 88873 are 88873. Prime factorization of 88873 in exponential form is:

88873 = 888731

Now multiplying the highest exponent prime factors to calculate the LCM of 88859 and 88873.

LCM(88859,88873) = 171 × 52271 × 888731
LCM(88859,88873) = 7897165907