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What is the Least Common Multiple of 15781 and 15799?

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 15781 and 15799 is 249324019.

LCM(15781,15799) = 249324019

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Least Common Multiple of 15781 and 15799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15781 and 15799, than apply into the LCM equation.

GCF(15781,15799) = 1
LCM(15781,15799) = ( 15781 × 15799) / 1
LCM(15781,15799) = 249324019 / 1
LCM(15781,15799) = 249324019

Least Common Multiple (LCM) of 15781 and 15799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15781 and 15799. First we will calculate the prime factors of 15781 and 15799.

Prime Factorization of 15781

Prime factors of 15781 are 43, 367. Prime factorization of 15781 in exponential form is:

15781 = 431 × 3671

Prime Factorization of 15799

Prime factors of 15799 are 7, 37, 61. Prime factorization of 15799 in exponential form is:

15799 = 71 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 15781 and 15799.

LCM(15781,15799) = 431 × 3671 × 71 × 371 × 611
LCM(15781,15799) = 249324019