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What is the Least Common Multiple of 26900 and 26914?

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 26900 and 26914 is 361993300.

LCM(26900,26914) = 361993300

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Least Common Multiple of 26900 and 26914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26900 and 26914, than apply into the LCM equation.

GCF(26900,26914) = 2
LCM(26900,26914) = ( 26900 × 26914) / 2
LCM(26900,26914) = 723986600 / 2
LCM(26900,26914) = 361993300

Least Common Multiple (LCM) of 26900 and 26914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26900 and 26914. First we will calculate the prime factors of 26900 and 26914.

Prime Factorization of 26900

Prime factors of 26900 are 2, 5, 269. Prime factorization of 26900 in exponential form is:

26900 = 22 × 52 × 2691

Prime Factorization of 26914

Prime factors of 26914 are 2, 13457. Prime factorization of 26914 in exponential form is:

26914 = 21 × 134571

Now multiplying the highest exponent prime factors to calculate the LCM of 26900 and 26914.

LCM(26900,26914) = 22 × 52 × 2691 × 134571
LCM(26900,26914) = 361993300