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What is the Least Common Multiple of 26891 and 26897?

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 26891 and 26897 is 723287227.

LCM(26891,26897) = 723287227

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Least Common Multiple of 26891 and 26897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26891 and 26897, than apply into the LCM equation.

GCF(26891,26897) = 1
LCM(26891,26897) = ( 26891 × 26897) / 1
LCM(26891,26897) = 723287227 / 1
LCM(26891,26897) = 723287227

Least Common Multiple (LCM) of 26891 and 26897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26891 and 26897. First we will calculate the prime factors of 26891 and 26897.

Prime Factorization of 26891

Prime factors of 26891 are 26891. Prime factorization of 26891 in exponential form is:

26891 = 268911

Prime Factorization of 26897

Prime factors of 26897 are 13, 2069. Prime factorization of 26897 in exponential form is:

26897 = 131 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 26891 and 26897.

LCM(26891,26897) = 268911 × 131 × 20691
LCM(26891,26897) = 723287227