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What is the Least Common Multiple of 88853 and 88857?

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 88853 and 88857 is 7895211021.

LCM(88853,88857) = 7895211021

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Least Common Multiple of 88853 and 88857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88853 and 88857, than apply into the LCM equation.

GCF(88853,88857) = 1
LCM(88853,88857) = ( 88853 × 88857) / 1
LCM(88853,88857) = 7895211021 / 1
LCM(88853,88857) = 7895211021

Least Common Multiple (LCM) of 88853 and 88857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88853 and 88857. First we will calculate the prime factors of 88853 and 88857.

Prime Factorization of 88853

Prime factors of 88853 are 88853. Prime factorization of 88853 in exponential form is:

88853 = 888531

Prime Factorization of 88857

Prime factors of 88857 are 3, 1097. Prime factorization of 88857 in exponential form is:

88857 = 34 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 88853 and 88857.

LCM(88853,88857) = 888531 × 34 × 10971
LCM(88853,88857) = 7895211021