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What is the Least Common Multiple of 94882 and 94895?

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 94882 and 94895 is 9003827390.

LCM(94882,94895) = 9003827390

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Least Common Multiple of 94882 and 94895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94882 and 94895, than apply into the LCM equation.

GCF(94882,94895) = 1
LCM(94882,94895) = ( 94882 × 94895) / 1
LCM(94882,94895) = 9003827390 / 1
LCM(94882,94895) = 9003827390

Least Common Multiple (LCM) of 94882 and 94895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94882 and 94895. First we will calculate the prime factors of 94882 and 94895.

Prime Factorization of 94882

Prime factors of 94882 are 2, 47441. Prime factorization of 94882 in exponential form is:

94882 = 21 × 474411

Prime Factorization of 94895

Prime factors of 94895 are 5, 18979. Prime factorization of 94895 in exponential form is:

94895 = 51 × 189791

Now multiplying the highest exponent prime factors to calculate the LCM of 94882 and 94895.

LCM(94882,94895) = 21 × 474411 × 51 × 189791
LCM(94882,94895) = 9003827390