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What is the Least Common Multiple of 26288 and 26306?

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 26288 and 26306 is 345766064.

LCM(26288,26306) = 345766064

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Least Common Multiple of 26288 and 26306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26288 and 26306, than apply into the LCM equation.

GCF(26288,26306) = 2
LCM(26288,26306) = ( 26288 × 26306) / 2
LCM(26288,26306) = 691532128 / 2
LCM(26288,26306) = 345766064

Least Common Multiple (LCM) of 26288 and 26306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26288 and 26306. First we will calculate the prime factors of 26288 and 26306.

Prime Factorization of 26288

Prime factors of 26288 are 2, 31, 53. Prime factorization of 26288 in exponential form is:

26288 = 24 × 311 × 531

Prime Factorization of 26306

Prime factors of 26306 are 2, 7, 1879. Prime factorization of 26306 in exponential form is:

26306 = 21 × 71 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 26288 and 26306.

LCM(26288,26306) = 24 × 311 × 531 × 71 × 18791
LCM(26288,26306) = 345766064