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What is the Least Common Multiple of 26238 and 26254?

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 26238 and 26254 is 344426226.

LCM(26238,26254) = 344426226

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Least Common Multiple of 26238 and 26254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26238 and 26254, than apply into the LCM equation.

GCF(26238,26254) = 2
LCM(26238,26254) = ( 26238 × 26254) / 2
LCM(26238,26254) = 688852452 / 2
LCM(26238,26254) = 344426226

Least Common Multiple (LCM) of 26238 and 26254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26238 and 26254. First we will calculate the prime factors of 26238 and 26254.

Prime Factorization of 26238

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

26238 = 21 × 31 × 43731

Prime Factorization of 26254

Prime factors of 26254 are 2, 13127. Prime factorization of 26254 in exponential form is:

26254 = 21 × 131271

Now multiplying the highest exponent prime factors to calculate the LCM of 26238 and 26254.

LCM(26238,26254) = 21 × 31 × 43731 × 131271
LCM(26238,26254) = 344426226