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What is the Least Common Multiple of 88849 and 88867?

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 88849 and 88867 is 7895744083.

LCM(88849,88867) = 7895744083

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Least Common Multiple of 88849 and 88867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88849 and 88867, than apply into the LCM equation.

GCF(88849,88867) = 1
LCM(88849,88867) = ( 88849 × 88867) / 1
LCM(88849,88867) = 7895744083 / 1
LCM(88849,88867) = 7895744083

Least Common Multiple (LCM) of 88849 and 88867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88849 and 88867. First we will calculate the prime factors of 88849 and 88867.

Prime Factorization of 88849

Prime factors of 88849 are 23, 3863. Prime factorization of 88849 in exponential form is:

88849 = 231 × 38631

Prime Factorization of 88867

Prime factors of 88867 are 88867. Prime factorization of 88867 in exponential form is:

88867 = 888671

Now multiplying the highest exponent prime factors to calculate the LCM of 88849 and 88867.

LCM(88849,88867) = 231 × 38631 × 888671
LCM(88849,88867) = 7895744083