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What is the Least Common Multiple of 95865 and 95876?

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 95876 is 835559340.

LCM(95865,95876) = 835559340

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Least Common Multiple of 95865 and 95876 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 95876, than apply into the LCM equation.

GCF(95865,95876) = 11
LCM(95865,95876) = ( 95865 × 95876) / 11
LCM(95865,95876) = 9191152740 / 11
LCM(95865,95876) = 835559340

Least Common Multiple (LCM) of 95865 and 95876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95865 and 95876. First we will calculate the prime factors of 95865 and 95876.

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 95876

Prime factors of 95876 are 2, 11, 2179. Prime factorization of 95876 in exponential form is:

95876 = 22 × 111 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 95865 and 95876.

LCM(95865,95876) = 31 × 51 × 71 × 111 × 831 × 22 × 21791
LCM(95865,95876) = 835559340