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What is the Least Common Multiple of 8883 and 8893?

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 8883 and 8893 is 78996519.

LCM(8883,8893) = 78996519

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Least Common Multiple of 8883 and 8893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8883 and 8893, than apply into the LCM equation.

GCF(8883,8893) = 1
LCM(8883,8893) = ( 8883 × 8893) / 1
LCM(8883,8893) = 78996519 / 1
LCM(8883,8893) = 78996519

Least Common Multiple (LCM) of 8883 and 8893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8883 and 8893. First we will calculate the prime factors of 8883 and 8893.

Prime Factorization of 8883

Prime factors of 8883 are 3, 7, 47. Prime factorization of 8883 in exponential form is:

8883 = 33 × 71 × 471

Prime Factorization of 8893

Prime factors of 8893 are 8893. Prime factorization of 8893 in exponential form is:

8893 = 88931

Now multiplying the highest exponent prime factors to calculate the LCM of 8883 and 8893.

LCM(8883,8893) = 33 × 71 × 471 × 88931
LCM(8883,8893) = 78996519