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What is the Least Common Multiple of 77881 and 77886?

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 77881 and 77886 is 6065839566.

LCM(77881,77886) = 6065839566

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Least Common Multiple of 77881 and 77886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77881 and 77886, than apply into the LCM equation.

GCF(77881,77886) = 1
LCM(77881,77886) = ( 77881 × 77886) / 1
LCM(77881,77886) = 6065839566 / 1
LCM(77881,77886) = 6065839566

Least Common Multiple (LCM) of 77881 and 77886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77881 and 77886. First we will calculate the prime factors of 77881 and 77886.

Prime Factorization of 77881

Prime factors of 77881 are 19, 4099. Prime factorization of 77881 in exponential form is:

77881 = 191 × 40991

Prime Factorization of 77886

Prime factors of 77886 are 2, 3, 4327. Prime factorization of 77886 in exponential form is:

77886 = 21 × 32 × 43271

Now multiplying the highest exponent prime factors to calculate the LCM of 77881 and 77886.

LCM(77881,77886) = 191 × 40991 × 21 × 32 × 43271
LCM(77881,77886) = 6065839566