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What is the Least Common Multiple of 76873 and 76893?

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 76873 and 76893 is 5910995589.

LCM(76873,76893) = 5910995589

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Least Common Multiple of 76873 and 76893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76873 and 76893, than apply into the LCM equation.

GCF(76873,76893) = 1
LCM(76873,76893) = ( 76873 × 76893) / 1
LCM(76873,76893) = 5910995589 / 1
LCM(76873,76893) = 5910995589

Least Common Multiple (LCM) of 76873 and 76893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76873 and 76893. First we will calculate the prime factors of 76873 and 76893.

Prime Factorization of 76873

Prime factors of 76873 are 76873. Prime factorization of 76873 in exponential form is:

76873 = 768731

Prime Factorization of 76893

Prime factors of 76893 are 3, 19, 71. Prime factorization of 76893 in exponential form is:

76893 = 31 × 192 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 76873 and 76893.

LCM(76873,76893) = 768731 × 31 × 192 × 711
LCM(76873,76893) = 5910995589