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What is the Least Common Multiple of 38873 and 38881?

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 38873 and 38881 is 1511421113.

LCM(38873,38881) = 1511421113

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Least Common Multiple of 38873 and 38881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38873 and 38881, than apply into the LCM equation.

GCF(38873,38881) = 1
LCM(38873,38881) = ( 38873 × 38881) / 1
LCM(38873,38881) = 1511421113 / 1
LCM(38873,38881) = 1511421113

Least Common Multiple (LCM) of 38873 and 38881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38873 and 38881. First we will calculate the prime factors of 38873 and 38881.

Prime Factorization of 38873

Prime factors of 38873 are 38873. Prime factorization of 38873 in exponential form is:

38873 = 388731

Prime Factorization of 38881

Prime factors of 38881 are 59, 659. Prime factorization of 38881 in exponential form is:

38881 = 591 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 38873 and 38881.

LCM(38873,38881) = 388731 × 591 × 6591
LCM(38873,38881) = 1511421113