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What is the Least Common Multiple of 26226 and 26238?

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 26226 and 26238 is 114686298.

LCM(26226,26238) = 114686298

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Least Common Multiple of 26226 and 26238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26226 and 26238, than apply into the LCM equation.

GCF(26226,26238) = 6
LCM(26226,26238) = ( 26226 × 26238) / 6
LCM(26226,26238) = 688117788 / 6
LCM(26226,26238) = 114686298

Least Common Multiple (LCM) of 26226 and 26238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26226 and 26238. First we will calculate the prime factors of 26226 and 26238.

Prime Factorization of 26226

Prime factors of 26226 are 2, 3, 31, 47. Prime factorization of 26226 in exponential form is:

26226 = 21 × 32 × 311 × 471

Prime Factorization of 26238

Prime factors of 26238 are 2, 3, 4373. Prime factorization of 26238 in exponential form is:

26238 = 21 × 31 × 43731

Now multiplying the highest exponent prime factors to calculate the LCM of 26226 and 26238.

LCM(26226,26238) = 21 × 32 × 311 × 471 × 43731
LCM(26226,26238) = 114686298