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What is the Least Common Multiple of 28927 and 28933?

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 28927 and 28933 is 836944891.

LCM(28927,28933) = 836944891

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Least Common Multiple of 28927 and 28933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28927 and 28933, than apply into the LCM equation.

GCF(28927,28933) = 1
LCM(28927,28933) = ( 28927 × 28933) / 1
LCM(28927,28933) = 836944891 / 1
LCM(28927,28933) = 836944891

Least Common Multiple (LCM) of 28927 and 28933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28927 and 28933. First we will calculate the prime factors of 28927 and 28933.

Prime Factorization of 28927

Prime factors of 28927 are 28927. Prime factorization of 28927 in exponential form is:

28927 = 289271

Prime Factorization of 28933

Prime factors of 28933 are 28933. Prime factorization of 28933 in exponential form is:

28933 = 289331

Now multiplying the highest exponent prime factors to calculate the LCM of 28927 and 28933.

LCM(28927,28933) = 289271 × 289331
LCM(28927,28933) = 836944891