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What is the Least Common Multiple of 75877 and 75886?

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 75877 and 75886 is 5758002022.

LCM(75877,75886) = 5758002022

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Least Common Multiple of 75877 and 75886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75877 and 75886, than apply into the LCM equation.

GCF(75877,75886) = 1
LCM(75877,75886) = ( 75877 × 75886) / 1
LCM(75877,75886) = 5758002022 / 1
LCM(75877,75886) = 5758002022

Least Common Multiple (LCM) of 75877 and 75886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75877 and 75886. First we will calculate the prime factors of 75877 and 75886.

Prime Factorization of 75877

Prime factors of 75877 are 23, 3299. Prime factorization of 75877 in exponential form is:

75877 = 231 × 32991

Prime Factorization of 75886

Prime factors of 75886 are 2, 19, 1997. Prime factorization of 75886 in exponential form is:

75886 = 21 × 191 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 75877 and 75886.

LCM(75877,75886) = 231 × 32991 × 21 × 191 × 19971
LCM(75877,75886) = 5758002022