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What is the Least Common Multiple of 18883 and 18893?

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 18883 and 18893 is 356756519.

LCM(18883,18893) = 356756519

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Least Common Multiple of 18883 and 18893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18883 and 18893, than apply into the LCM equation.

GCF(18883,18893) = 1
LCM(18883,18893) = ( 18883 × 18893) / 1
LCM(18883,18893) = 356756519 / 1
LCM(18883,18893) = 356756519

Least Common Multiple (LCM) of 18883 and 18893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18883 and 18893. First we will calculate the prime factors of 18883 and 18893.

Prime Factorization of 18883

Prime factors of 18883 are 23, 821. Prime factorization of 18883 in exponential form is:

18883 = 231 × 8211

Prime Factorization of 18893

Prime factors of 18893 are 7, 2699. Prime factorization of 18893 in exponential form is:

18893 = 71 × 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 18883 and 18893.

LCM(18883,18893) = 231 × 8211 × 71 × 26991
LCM(18883,18893) = 356756519