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What is the Least Common Multiple of 26892 and 26909?

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 26892 and 26909 is 723636828.

LCM(26892,26909) = 723636828

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Least Common Multiple of 26892 and 26909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26892 and 26909, than apply into the LCM equation.

GCF(26892,26909) = 1
LCM(26892,26909) = ( 26892 × 26909) / 1
LCM(26892,26909) = 723636828 / 1
LCM(26892,26909) = 723636828

Least Common Multiple (LCM) of 26892 and 26909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26892 and 26909. First we will calculate the prime factors of 26892 and 26909.

Prime Factorization of 26892

Prime factors of 26892 are 2, 3, 83. Prime factorization of 26892 in exponential form is:

26892 = 22 × 34 × 831

Prime Factorization of 26909

Prime factors of 26909 are 71, 379. Prime factorization of 26909 in exponential form is:

26909 = 711 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 26892 and 26909.

LCM(26892,26909) = 22 × 34 × 831 × 711 × 3791
LCM(26892,26909) = 723636828