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What is the Least Common Multiple of 28933 and 28943?

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 28933 and 28943 is 837407819.

LCM(28933,28943) = 837407819

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Least Common Multiple of 28933 and 28943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28933 and 28943, than apply into the LCM equation.

GCF(28933,28943) = 1
LCM(28933,28943) = ( 28933 × 28943) / 1
LCM(28933,28943) = 837407819 / 1
LCM(28933,28943) = 837407819

Least Common Multiple (LCM) of 28933 and 28943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28933 and 28943. First we will calculate the prime factors of 28933 and 28943.

Prime Factorization of 28933

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

28933 = 289331

Prime Factorization of 28943

Prime factors of 28943 are 103, 281. Prime factorization of 28943 in exponential form is:

28943 = 1031 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 28933 and 28943.

LCM(28933,28943) = 289331 × 1031 × 2811
LCM(28933,28943) = 837407819