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What is the Least Common Multiple of 26691 and 26711?

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 26691 and 26711 is 712943301.

LCM(26691,26711) = 712943301

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Least Common Multiple of 26691 and 26711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26691 and 26711, than apply into the LCM equation.

GCF(26691,26711) = 1
LCM(26691,26711) = ( 26691 × 26711) / 1
LCM(26691,26711) = 712943301 / 1
LCM(26691,26711) = 712943301

Least Common Multiple (LCM) of 26691 and 26711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26691 and 26711. First we will calculate the prime factors of 26691 and 26711.

Prime Factorization of 26691

Prime factors of 26691 are 3, 7, 31, 41. Prime factorization of 26691 in exponential form is:

26691 = 31 × 71 × 311 × 411

Prime Factorization of 26711

Prime factors of 26711 are 26711. Prime factorization of 26711 in exponential form is:

26711 = 267111

Now multiplying the highest exponent prime factors to calculate the LCM of 26691 and 26711.

LCM(26691,26711) = 31 × 71 × 311 × 411 × 267111
LCM(26691,26711) = 712943301