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What is the Least Common Multiple of 88841 and 88859?

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 88841 and 88859 is 7894322419.

LCM(88841,88859) = 7894322419

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Least Common Multiple of 88841 and 88859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88841 and 88859, than apply into the LCM equation.

GCF(88841,88859) = 1
LCM(88841,88859) = ( 88841 × 88859) / 1
LCM(88841,88859) = 7894322419 / 1
LCM(88841,88859) = 7894322419

Least Common Multiple (LCM) of 88841 and 88859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88841 and 88859. First we will calculate the prime factors of 88841 and 88859.

Prime Factorization of 88841

Prime factors of 88841 are 73, 1217. Prime factorization of 88841 in exponential form is:

88841 = 731 × 12171

Prime Factorization of 88859

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

88859 = 171 × 52271

Now multiplying the highest exponent prime factors to calculate the LCM of 88841 and 88859.

LCM(88841,88859) = 731 × 12171 × 171 × 52271
LCM(88841,88859) = 7894322419