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What is the Least Common Multiple of 76864 and 76873?

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 76864 and 76873 is 5908766272.

LCM(76864,76873) = 5908766272

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Least Common Multiple of 76864 and 76873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76864 and 76873, than apply into the LCM equation.

GCF(76864,76873) = 1
LCM(76864,76873) = ( 76864 × 76873) / 1
LCM(76864,76873) = 5908766272 / 1
LCM(76864,76873) = 5908766272

Least Common Multiple (LCM) of 76864 and 76873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76864 and 76873. First we will calculate the prime factors of 76864 and 76873.

Prime Factorization of 76864

Prime factors of 76864 are 2, 1201. Prime factorization of 76864 in exponential form is:

76864 = 26 × 12011

Prime Factorization of 76873

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

76873 = 768731

Now multiplying the highest exponent prime factors to calculate the LCM of 76864 and 76873.

LCM(76864,76873) = 26 × 12011 × 768731
LCM(76864,76873) = 5908766272