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What is the Least Common Multiple of 29245 and 29255?

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 29245 and 29255 is 171112495.

LCM(29245,29255) = 171112495

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Least Common Multiple of 29245 and 29255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29245 and 29255, than apply into the LCM equation.

GCF(29245,29255) = 5
LCM(29245,29255) = ( 29245 × 29255) / 5
LCM(29245,29255) = 855562475 / 5
LCM(29245,29255) = 171112495

Least Common Multiple (LCM) of 29245 and 29255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29245 and 29255. First we will calculate the prime factors of 29245 and 29255.

Prime Factorization of 29245

Prime factors of 29245 are 5, 5849. Prime factorization of 29245 in exponential form is:

29245 = 51 × 58491

Prime Factorization of 29255

Prime factors of 29255 are 5, 5851. Prime factorization of 29255 in exponential form is:

29255 = 51 × 58511

Now multiplying the highest exponent prime factors to calculate the LCM of 29245 and 29255.

LCM(29245,29255) = 51 × 58491 × 58511
LCM(29245,29255) = 171112495