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What is the Least Common Multiple of 17895 and 17908?

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 17895 and 17908 is 320463660.

LCM(17895,17908) = 320463660

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Least Common Multiple of 17895 and 17908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17895 and 17908, than apply into the LCM equation.

GCF(17895,17908) = 1
LCM(17895,17908) = ( 17895 × 17908) / 1
LCM(17895,17908) = 320463660 / 1
LCM(17895,17908) = 320463660

Least Common Multiple (LCM) of 17895 and 17908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17895 and 17908. First we will calculate the prime factors of 17895 and 17908.

Prime Factorization of 17895

Prime factors of 17895 are 3, 5, 1193. Prime factorization of 17895 in exponential form is:

17895 = 31 × 51 × 11931

Prime Factorization of 17908

Prime factors of 17908 are 2, 11, 37. Prime factorization of 17908 in exponential form is:

17908 = 22 × 112 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 17895 and 17908.

LCM(17895,17908) = 31 × 51 × 11931 × 22 × 112 × 371
LCM(17895,17908) = 320463660