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What is the Least Common Multiple of 34481 and 34485?

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 34481 and 34485 is 1189077285.

LCM(34481,34485) = 1189077285

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Least Common Multiple of 34481 and 34485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34481 and 34485, than apply into the LCM equation.

GCF(34481,34485) = 1
LCM(34481,34485) = ( 34481 × 34485) / 1
LCM(34481,34485) = 1189077285 / 1
LCM(34481,34485) = 1189077285

Least Common Multiple (LCM) of 34481 and 34485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34481 and 34485. First we will calculate the prime factors of 34481 and 34485.

Prime Factorization of 34481

Prime factors of 34481 are 29, 41. Prime factorization of 34481 in exponential form is:

34481 = 292 × 411

Prime Factorization of 34485

Prime factors of 34485 are 3, 5, 11, 19. Prime factorization of 34485 in exponential form is:

34485 = 31 × 51 × 112 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 34481 and 34485.

LCM(34481,34485) = 292 × 411 × 31 × 51 × 112 × 191
LCM(34481,34485) = 1189077285