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What is the Least Common Multiple of 88876 and 88883?

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 88876 and 88883 is 7899565508.

LCM(88876,88883) = 7899565508

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Least Common Multiple of 88876 and 88883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88876 and 88883, than apply into the LCM equation.

GCF(88876,88883) = 1
LCM(88876,88883) = ( 88876 × 88883) / 1
LCM(88876,88883) = 7899565508 / 1
LCM(88876,88883) = 7899565508

Least Common Multiple (LCM) of 88876 and 88883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88876 and 88883. First we will calculate the prime factors of 88876 and 88883.

Prime Factorization of 88876

Prime factors of 88876 are 2, 17, 1307. Prime factorization of 88876 in exponential form is:

88876 = 22 × 171 × 13071

Prime Factorization of 88883

Prime factors of 88883 are 88883. Prime factorization of 88883 in exponential form is:

88883 = 888831

Now multiplying the highest exponent prime factors to calculate the LCM of 88876 and 88883.

LCM(88876,88883) = 22 × 171 × 13071 × 888831
LCM(88876,88883) = 7899565508