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What is the Least Common Multiple of 26834 and 26847?

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 26834 and 26847 is 720412398.

LCM(26834,26847) = 720412398

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Least Common Multiple of 26834 and 26847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26834 and 26847, than apply into the LCM equation.

GCF(26834,26847) = 1
LCM(26834,26847) = ( 26834 × 26847) / 1
LCM(26834,26847) = 720412398 / 1
LCM(26834,26847) = 720412398

Least Common Multiple (LCM) of 26834 and 26847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26834 and 26847. First we will calculate the prime factors of 26834 and 26847.

Prime Factorization of 26834

Prime factors of 26834 are 2, 13417. Prime factorization of 26834 in exponential form is:

26834 = 21 × 134171

Prime Factorization of 26847

Prime factors of 26847 are 3, 19, 157. Prime factorization of 26847 in exponential form is:

26847 = 32 × 191 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 26834 and 26847.

LCM(26834,26847) = 21 × 134171 × 32 × 191 × 1571
LCM(26834,26847) = 720412398