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What is the Least Common Multiple of 12894 and 12914?

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 12894 and 12914 is 83256558.

LCM(12894,12914) = 83256558

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Least Common Multiple of 12894 and 12914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12894 and 12914, than apply into the LCM equation.

GCF(12894,12914) = 2
LCM(12894,12914) = ( 12894 × 12914) / 2
LCM(12894,12914) = 166513116 / 2
LCM(12894,12914) = 83256558

Least Common Multiple (LCM) of 12894 and 12914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12894 and 12914. First we will calculate the prime factors of 12894 and 12914.

Prime Factorization of 12894

Prime factors of 12894 are 2, 3, 7, 307. Prime factorization of 12894 in exponential form is:

12894 = 21 × 31 × 71 × 3071

Prime Factorization of 12914

Prime factors of 12914 are 2, 11, 587. Prime factorization of 12914 in exponential form is:

12914 = 21 × 111 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 12894 and 12914.

LCM(12894,12914) = 21 × 31 × 71 × 3071 × 111 × 5871
LCM(12894,12914) = 83256558