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What is the Least Common Multiple of 26921 and 26929?

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 26921 and 26929 is 724955609.

LCM(26921,26929) = 724955609

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Least Common Multiple of 26921 and 26929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26921 and 26929, than apply into the LCM equation.

GCF(26921,26929) = 1
LCM(26921,26929) = ( 26921 × 26929) / 1
LCM(26921,26929) = 724955609 / 1
LCM(26921,26929) = 724955609

Least Common Multiple (LCM) of 26921 and 26929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26921 and 26929. First we will calculate the prime factors of 26921 and 26929.

Prime Factorization of 26921

Prime factors of 26921 are 26921. Prime factorization of 26921 in exponential form is:

26921 = 269211

Prime Factorization of 26929

Prime factors of 26929 are 7, 3847. Prime factorization of 26929 in exponential form is:

26929 = 71 × 38471

Now multiplying the highest exponent prime factors to calculate the LCM of 26921 and 26929.

LCM(26921,26929) = 269211 × 71 × 38471
LCM(26921,26929) = 724955609