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What is the Least Common Multiple of 95876 and 95885?

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 95876 and 95885 is 9193070260.

LCM(95876,95885) = 9193070260

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Least Common Multiple of 95876 and 95885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95876 and 95885, than apply into the LCM equation.

GCF(95876,95885) = 1
LCM(95876,95885) = ( 95876 × 95885) / 1
LCM(95876,95885) = 9193070260 / 1
LCM(95876,95885) = 9193070260

Least Common Multiple (LCM) of 95876 and 95885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95876 and 95885. First we will calculate the prime factors of 95876 and 95885.

Prime Factorization of 95876

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

95876 = 22 × 111 × 21791

Prime Factorization of 95885

Prime factors of 95885 are 5, 127, 151. Prime factorization of 95885 in exponential form is:

95885 = 51 × 1271 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 95876 and 95885.

LCM(95876,95885) = 22 × 111 × 21791 × 51 × 1271 × 1511
LCM(95876,95885) = 9193070260