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What is the Least Common Multiple of 76884 and 76903?

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 76884 and 76903 is 5912610252.

LCM(76884,76903) = 5912610252

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Least Common Multiple of 76884 and 76903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76884 and 76903, than apply into the LCM equation.

GCF(76884,76903) = 1
LCM(76884,76903) = ( 76884 × 76903) / 1
LCM(76884,76903) = 5912610252 / 1
LCM(76884,76903) = 5912610252

Least Common Multiple (LCM) of 76884 and 76903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76884 and 76903. First we will calculate the prime factors of 76884 and 76903.

Prime Factorization of 76884

Prime factors of 76884 are 2, 3, 43, 149. Prime factorization of 76884 in exponential form is:

76884 = 22 × 31 × 431 × 1491

Prime Factorization of 76903

Prime factors of 76903 are 53, 1451. Prime factorization of 76903 in exponential form is:

76903 = 531 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 76884 and 76903.

LCM(76884,76903) = 22 × 31 × 431 × 1491 × 531 × 14511
LCM(76884,76903) = 5912610252