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What is the Least Common Multiple of 49304 and 49321?

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 49304 and 49321 is 2431722584.

LCM(49304,49321) = 2431722584

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Least Common Multiple of 49304 and 49321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49304 and 49321, than apply into the LCM equation.

GCF(49304,49321) = 1
LCM(49304,49321) = ( 49304 × 49321) / 1
LCM(49304,49321) = 2431722584 / 1
LCM(49304,49321) = 2431722584

Least Common Multiple (LCM) of 49304 and 49321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49304 and 49321. First we will calculate the prime factors of 49304 and 49321.

Prime Factorization of 49304

Prime factors of 49304 are 2, 6163. Prime factorization of 49304 in exponential form is:

49304 = 23 × 61631

Prime Factorization of 49321

Prime factors of 49321 are 31, 37, 43. Prime factorization of 49321 in exponential form is:

49321 = 311 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 49304 and 49321.

LCM(49304,49321) = 23 × 61631 × 311 × 371 × 431
LCM(49304,49321) = 2431722584