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What is the Least Common Multiple of 17878 and 17895?

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 17878 and 17895 is 319926810.

LCM(17878,17895) = 319926810

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Least Common Multiple of 17878 and 17895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17878 and 17895, than apply into the LCM equation.

GCF(17878,17895) = 1
LCM(17878,17895) = ( 17878 × 17895) / 1
LCM(17878,17895) = 319926810 / 1
LCM(17878,17895) = 319926810

Least Common Multiple (LCM) of 17878 and 17895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17878 and 17895. First we will calculate the prime factors of 17878 and 17895.

Prime Factorization of 17878

Prime factors of 17878 are 2, 7, 1277. Prime factorization of 17878 in exponential form is:

17878 = 21 × 71 × 12771

Prime Factorization of 17895

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

17895 = 31 × 51 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 17878 and 17895.

LCM(17878,17895) = 21 × 71 × 12771 × 31 × 51 × 11931
LCM(17878,17895) = 319926810