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What is the Least Common Multiple of 26488 and 26508?

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 26488 and 26508 is 175535976.

LCM(26488,26508) = 175535976

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Least Common Multiple of 26488 and 26508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26488 and 26508, than apply into the LCM equation.

GCF(26488,26508) = 4
LCM(26488,26508) = ( 26488 × 26508) / 4
LCM(26488,26508) = 702143904 / 4
LCM(26488,26508) = 175535976

Least Common Multiple (LCM) of 26488 and 26508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26488 and 26508. First we will calculate the prime factors of 26488 and 26508.

Prime Factorization of 26488

Prime factors of 26488 are 2, 7, 11, 43. Prime factorization of 26488 in exponential form is:

26488 = 23 × 71 × 111 × 431

Prime Factorization of 26508

Prime factors of 26508 are 2, 3, 47. Prime factorization of 26508 in exponential form is:

26508 = 22 × 31 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 26488 and 26508.

LCM(26488,26508) = 23 × 71 × 111 × 431 × 31 × 472
LCM(26488,26508) = 175535976