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What is the Least Common Multiple of 26109 and 26127?

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 26109 and 26127 is 75794427.

LCM(26109,26127) = 75794427

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Least Common Multiple of 26109 and 26127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26109 and 26127, than apply into the LCM equation.

GCF(26109,26127) = 9
LCM(26109,26127) = ( 26109 × 26127) / 9
LCM(26109,26127) = 682149843 / 9
LCM(26109,26127) = 75794427

Least Common Multiple (LCM) of 26109 and 26127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26109 and 26127. First we will calculate the prime factors of 26109 and 26127.

Prime Factorization of 26109

Prime factors of 26109 are 3, 967. Prime factorization of 26109 in exponential form is:

26109 = 33 × 9671

Prime Factorization of 26127

Prime factors of 26127 are 3, 2903. Prime factorization of 26127 in exponential form is:

26127 = 32 × 29031

Now multiplying the highest exponent prime factors to calculate the LCM of 26109 and 26127.

LCM(26109,26127) = 33 × 9671 × 29031
LCM(26109,26127) = 75794427