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What is the Least Common Multiple of 76884 and 76895?

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 76895 is 5911995180.

LCM(76884,76895) = 5911995180

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Least Common Multiple of 76884 and 76895 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 76895, than apply into the LCM equation.

GCF(76884,76895) = 1
LCM(76884,76895) = ( 76884 × 76895) / 1
LCM(76884,76895) = 5911995180 / 1
LCM(76884,76895) = 5911995180

Least Common Multiple (LCM) of 76884 and 76895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76884 and 76895. First we will calculate the prime factors of 76884 and 76895.

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 76895

Prime factors of 76895 are 5, 7, 13. Prime factorization of 76895 in exponential form is:

76895 = 51 × 71 × 133

Now multiplying the highest exponent prime factors to calculate the LCM of 76884 and 76895.

LCM(76884,76895) = 22 × 31 × 431 × 1491 × 51 × 71 × 133
LCM(76884,76895) = 5911995180