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What is the Least Common Multiple of 18881 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 18881 and 18893 is 356718733.

LCM(18881,18893) = 356718733

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Least Common Multiple of 18881 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 18881 and 18893, than apply into the LCM equation.

GCF(18881,18893) = 1
LCM(18881,18893) = ( 18881 × 18893) / 1
LCM(18881,18893) = 356718733 / 1
LCM(18881,18893) = 356718733

Least Common Multiple (LCM) of 18881 and 18893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18881 and 18893. First we will calculate the prime factors of 18881 and 18893.

Prime Factorization of 18881

Prime factors of 18881 are 79, 239. Prime factorization of 18881 in exponential form is:

18881 = 791 × 2391

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 18881 and 18893.

LCM(18881,18893) = 791 × 2391 × 71 × 26991
LCM(18881,18893) = 356718733