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What is the Least Common Multiple of 26272 and 26288?

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 26272 and 26288 is 43164896.

LCM(26272,26288) = 43164896

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Least Common Multiple of 26272 and 26288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26272 and 26288, than apply into the LCM equation.

GCF(26272,26288) = 16
LCM(26272,26288) = ( 26272 × 26288) / 16
LCM(26272,26288) = 690638336 / 16
LCM(26272,26288) = 43164896

Least Common Multiple (LCM) of 26272 and 26288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26272 and 26288. First we will calculate the prime factors of 26272 and 26288.

Prime Factorization of 26272

Prime factors of 26272 are 2, 821. Prime factorization of 26272 in exponential form is:

26272 = 25 × 8211

Prime Factorization of 26288

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

26288 = 24 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 26272 and 26288.

LCM(26272,26288) = 25 × 8211 × 311 × 531
LCM(26272,26288) = 43164896