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What is the Least Common Multiple of 80363 and 80381?

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 80363 and 80381 is 6459658303.

LCM(80363,80381) = 6459658303

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Least Common Multiple of 80363 and 80381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80363 and 80381, than apply into the LCM equation.

GCF(80363,80381) = 1
LCM(80363,80381) = ( 80363 × 80381) / 1
LCM(80363,80381) = 6459658303 / 1
LCM(80363,80381) = 6459658303

Least Common Multiple (LCM) of 80363 and 80381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80363 and 80381. First we will calculate the prime factors of 80363 and 80381.

Prime Factorization of 80363

Prime factors of 80363 are 80363. Prime factorization of 80363 in exponential form is:

80363 = 803631

Prime Factorization of 80381

Prime factors of 80381 are 7, 11483. Prime factorization of 80381 in exponential form is:

80381 = 71 × 114831

Now multiplying the highest exponent prime factors to calculate the LCM of 80363 and 80381.

LCM(80363,80381) = 803631 × 71 × 114831
LCM(80363,80381) = 6459658303