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What is the Least Common Multiple of 15886 and 15904?

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 15886 and 15904 is 126325472.

LCM(15886,15904) = 126325472

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Least Common Multiple of 15886 and 15904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15886 and 15904, than apply into the LCM equation.

GCF(15886,15904) = 2
LCM(15886,15904) = ( 15886 × 15904) / 2
LCM(15886,15904) = 252650944 / 2
LCM(15886,15904) = 126325472

Least Common Multiple (LCM) of 15886 and 15904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15886 and 15904. First we will calculate the prime factors of 15886 and 15904.

Prime Factorization of 15886

Prime factors of 15886 are 2, 13, 47. Prime factorization of 15886 in exponential form is:

15886 = 21 × 132 × 471

Prime Factorization of 15904

Prime factors of 15904 are 2, 7, 71. Prime factorization of 15904 in exponential form is:

15904 = 25 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 15886 and 15904.

LCM(15886,15904) = 25 × 132 × 471 × 71 × 711
LCM(15886,15904) = 126325472