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What is the Least Common Multiple of 8883 and 8890?

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 8890 is 11281410.

LCM(8883,8890) = 11281410

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Least Common Multiple of 8883 and 8890 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 8890, than apply into the LCM equation.

GCF(8883,8890) = 7
LCM(8883,8890) = ( 8883 × 8890) / 7
LCM(8883,8890) = 78969870 / 7
LCM(8883,8890) = 11281410

Least Common Multiple (LCM) of 8883 and 8890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8883 and 8890. First we will calculate the prime factors of 8883 and 8890.

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 8890

Prime factors of 8890 are 2, 5, 7, 127. Prime factorization of 8890 in exponential form is:

8890 = 21 × 51 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8883 and 8890.

LCM(8883,8890) = 33 × 71 × 471 × 21 × 51 × 1271
LCM(8883,8890) = 11281410