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What is the Least Common Multiple of 95863 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 95863 and 95876 is 9190960988.

LCM(95863,95876) = 9190960988

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Least Common Multiple of 95863 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 95863 and 95876, than apply into the LCM equation.

GCF(95863,95876) = 1
LCM(95863,95876) = ( 95863 × 95876) / 1
LCM(95863,95876) = 9190960988 / 1
LCM(95863,95876) = 9190960988

Least Common Multiple (LCM) of 95863 and 95876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95863 and 95876. First we will calculate the prime factors of 95863 and 95876.

Prime Factorization of 95863

Prime factors of 95863 are 17, 5639. Prime factorization of 95863 in exponential form is:

95863 = 171 × 56391

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 95863 and 95876.

LCM(95863,95876) = 171 × 56391 × 22 × 111 × 21791
LCM(95863,95876) = 9190960988