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What is the Least Common Multiple of 26817 and 26831?

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 26817 and 26831 is 102789561.

LCM(26817,26831) = 102789561

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Least Common Multiple of 26817 and 26831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26817 and 26831, than apply into the LCM equation.

GCF(26817,26831) = 7
LCM(26817,26831) = ( 26817 × 26831) / 7
LCM(26817,26831) = 719526927 / 7
LCM(26817,26831) = 102789561

Least Common Multiple (LCM) of 26817 and 26831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26817 and 26831. First we will calculate the prime factors of 26817 and 26831.

Prime Factorization of 26817

Prime factors of 26817 are 3, 7, 1277. Prime factorization of 26817 in exponential form is:

26817 = 31 × 71 × 12771

Prime Factorization of 26831

Prime factors of 26831 are 7, 3833. Prime factorization of 26831 in exponential form is:

26831 = 71 × 38331

Now multiplying the highest exponent prime factors to calculate the LCM of 26817 and 26831.

LCM(26817,26831) = 31 × 71 × 12771 × 38331
LCM(26817,26831) = 102789561