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What is the Least Common Multiple of 54395 and 54403?

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 54395 and 54403 is 2959251185.

LCM(54395,54403) = 2959251185

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Least Common Multiple of 54395 and 54403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54395 and 54403, than apply into the LCM equation.

GCF(54395,54403) = 1
LCM(54395,54403) = ( 54395 × 54403) / 1
LCM(54395,54403) = 2959251185 / 1
LCM(54395,54403) = 2959251185

Least Common Multiple (LCM) of 54395 and 54403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54395 and 54403. First we will calculate the prime factors of 54395 and 54403.

Prime Factorization of 54395

Prime factors of 54395 are 5, 11, 23, 43. Prime factorization of 54395 in exponential form is:

54395 = 51 × 111 × 231 × 431

Prime Factorization of 54403

Prime factors of 54403 are 54403. Prime factorization of 54403 in exponential form is:

54403 = 544031

Now multiplying the highest exponent prime factors to calculate the LCM of 54395 and 54403.

LCM(54395,54403) = 51 × 111 × 231 × 431 × 544031
LCM(54395,54403) = 2959251185