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What is the Least Common Multiple of 94183 and 94195?

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 94183 and 94195 is 8871567685.

LCM(94183,94195) = 8871567685

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Least Common Multiple of 94183 and 94195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94183 and 94195, than apply into the LCM equation.

GCF(94183,94195) = 1
LCM(94183,94195) = ( 94183 × 94195) / 1
LCM(94183,94195) = 8871567685 / 1
LCM(94183,94195) = 8871567685

Least Common Multiple (LCM) of 94183 and 94195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94183 and 94195. First we will calculate the prime factors of 94183 and 94195.

Prime Factorization of 94183

Prime factors of 94183 are 19, 4957. Prime factorization of 94183 in exponential form is:

94183 = 191 × 49571

Prime Factorization of 94195

Prime factors of 94195 are 5, 18839. Prime factorization of 94195 in exponential form is:

94195 = 51 × 188391

Now multiplying the highest exponent prime factors to calculate the LCM of 94183 and 94195.

LCM(94183,94195) = 191 × 49571 × 51 × 188391
LCM(94183,94195) = 8871567685