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What is the Least Common Multiple of 76923 and 76933?

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 76923 and 76933 is 5917917159.

LCM(76923,76933) = 5917917159

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Least Common Multiple of 76923 and 76933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76923 and 76933, than apply into the LCM equation.

GCF(76923,76933) = 1
LCM(76923,76933) = ( 76923 × 76933) / 1
LCM(76923,76933) = 5917917159 / 1
LCM(76923,76933) = 5917917159

Least Common Multiple (LCM) of 76923 and 76933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76923 and 76933. First we will calculate the prime factors of 76923 and 76933.

Prime Factorization of 76923

Prime factors of 76923 are 3, 7, 11, 37. Prime factorization of 76923 in exponential form is:

76923 = 33 × 71 × 111 × 371

Prime Factorization of 76933

Prime factors of 76933 are 107, 719. Prime factorization of 76933 in exponential form is:

76933 = 1071 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 76923 and 76933.

LCM(76923,76933) = 33 × 71 × 111 × 371 × 1071 × 7191
LCM(76923,76933) = 5917917159