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What is the Least Common Multiple of 76869 and 76878?

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 76869 and 76878 is 656614998.

LCM(76869,76878) = 656614998

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Least Common Multiple of 76869 and 76878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76869 and 76878, than apply into the LCM equation.

GCF(76869,76878) = 9
LCM(76869,76878) = ( 76869 × 76878) / 9
LCM(76869,76878) = 5909534982 / 9
LCM(76869,76878) = 656614998

Least Common Multiple (LCM) of 76869 and 76878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76869 and 76878. First we will calculate the prime factors of 76869 and 76878.

Prime Factorization of 76869

Prime factors of 76869 are 3, 13, 73. Prime factorization of 76869 in exponential form is:

76869 = 34 × 131 × 731

Prime Factorization of 76878

Prime factors of 76878 are 2, 3, 4271. Prime factorization of 76878 in exponential form is:

76878 = 21 × 32 × 42711

Now multiplying the highest exponent prime factors to calculate the LCM of 76869 and 76878.

LCM(76869,76878) = 34 × 131 × 731 × 21 × 42711
LCM(76869,76878) = 656614998