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What is the Least Common Multiple of 28883 and 28890?

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 28883 and 28890 is 834429870.

LCM(28883,28890) = 834429870

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Least Common Multiple of 28883 and 28890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28883 and 28890, than apply into the LCM equation.

GCF(28883,28890) = 1
LCM(28883,28890) = ( 28883 × 28890) / 1
LCM(28883,28890) = 834429870 / 1
LCM(28883,28890) = 834429870

Least Common Multiple (LCM) of 28883 and 28890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28883 and 28890. First we will calculate the prime factors of 28883 and 28890.

Prime Factorization of 28883

Prime factors of 28883 are 17, 1699. Prime factorization of 28883 in exponential form is:

28883 = 171 × 16991

Prime Factorization of 28890

Prime factors of 28890 are 2, 3, 5, 107. Prime factorization of 28890 in exponential form is:

28890 = 21 × 33 × 51 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 28883 and 28890.

LCM(28883,28890) = 171 × 16991 × 21 × 33 × 51 × 1071
LCM(28883,28890) = 834429870