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What is the Least Common Multiple of 15908 and 15914?

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 15908 and 15914 is 126579956.

LCM(15908,15914) = 126579956

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Least Common Multiple of 15908 and 15914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15908 and 15914, than apply into the LCM equation.

GCF(15908,15914) = 2
LCM(15908,15914) = ( 15908 × 15914) / 2
LCM(15908,15914) = 253159912 / 2
LCM(15908,15914) = 126579956

Least Common Multiple (LCM) of 15908 and 15914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15908 and 15914. First we will calculate the prime factors of 15908 and 15914.

Prime Factorization of 15908

Prime factors of 15908 are 2, 41, 97. Prime factorization of 15908 in exponential form is:

15908 = 22 × 411 × 971

Prime Factorization of 15914

Prime factors of 15914 are 2, 73, 109. Prime factorization of 15914 in exponential form is:

15914 = 21 × 731 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 15908 and 15914.

LCM(15908,15914) = 22 × 411 × 971 × 731 × 1091
LCM(15908,15914) = 126579956