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What is the Least Common Multiple of 28883 and 28892?

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 28892 is 834487636.

LCM(28883,28892) = 834487636

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Least Common Multiple of 28883 and 28892 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 28892, than apply into the LCM equation.

GCF(28883,28892) = 1
LCM(28883,28892) = ( 28883 × 28892) / 1
LCM(28883,28892) = 834487636 / 1
LCM(28883,28892) = 834487636

Least Common Multiple (LCM) of 28883 and 28892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28883 and 28892. First we will calculate the prime factors of 28883 and 28892.

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 28892

Prime factors of 28892 are 2, 31, 233. Prime factorization of 28892 in exponential form is:

28892 = 22 × 311 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 28883 and 28892.

LCM(28883,28892) = 171 × 16991 × 22 × 311 × 2331
LCM(28883,28892) = 834487636