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What is the Least Common Multiple of 95865 and 95878?

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 95865 and 95878 is 9191344470.

LCM(95865,95878) = 9191344470

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Least Common Multiple of 95865 and 95878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95865 and 95878, than apply into the LCM equation.

GCF(95865,95878) = 1
LCM(95865,95878) = ( 95865 × 95878) / 1
LCM(95865,95878) = 9191344470 / 1
LCM(95865,95878) = 9191344470

Least Common Multiple (LCM) of 95865 and 95878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95865 and 95878. First we will calculate the prime factors of 95865 and 95878.

Prime Factorization of 95865

Prime factors of 95865 are 3, 5, 7, 11, 83. Prime factorization of 95865 in exponential form is:

95865 = 31 × 51 × 71 × 111 × 831

Prime Factorization of 95878

Prime factors of 95878 are 2, 47939. Prime factorization of 95878 in exponential form is:

95878 = 21 × 479391

Now multiplying the highest exponent prime factors to calculate the LCM of 95865 and 95878.

LCM(95865,95878) = 31 × 51 × 71 × 111 × 831 × 21 × 479391
LCM(95865,95878) = 9191344470