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What is the Least Common Multiple of 29885 and 29895?

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 29885 and 29895 is 178682415.

LCM(29885,29895) = 178682415

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Least Common Multiple of 29885 and 29895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29885 and 29895, than apply into the LCM equation.

GCF(29885,29895) = 5
LCM(29885,29895) = ( 29885 × 29895) / 5
LCM(29885,29895) = 893412075 / 5
LCM(29885,29895) = 178682415

Least Common Multiple (LCM) of 29885 and 29895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29885 and 29895. First we will calculate the prime factors of 29885 and 29895.

Prime Factorization of 29885

Prime factors of 29885 are 5, 43, 139. Prime factorization of 29885 in exponential form is:

29885 = 51 × 431 × 1391

Prime Factorization of 29895

Prime factors of 29895 are 3, 5, 1993. Prime factorization of 29895 in exponential form is:

29895 = 31 × 51 × 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 29885 and 29895.

LCM(29885,29895) = 51 × 431 × 1391 × 31 × 19931
LCM(29885,29895) = 178682415