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What is the Least Common Multiple of 26238 and 26243?

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 26243 is 688563834.

LCM(26238,26243) = 688563834

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Least Common Multiple of 26238 and 26243 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 26243, than apply into the LCM equation.

GCF(26238,26243) = 1
LCM(26238,26243) = ( 26238 × 26243) / 1
LCM(26238,26243) = 688563834 / 1
LCM(26238,26243) = 688563834

Least Common Multiple (LCM) of 26238 and 26243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26238 and 26243. First we will calculate the prime factors of 26238 and 26243.

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 26243

Prime factors of 26243 are 7, 23, 163. Prime factorization of 26243 in exponential form is:

26243 = 71 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 26238 and 26243.

LCM(26238,26243) = 21 × 31 × 43731 × 71 × 231 × 1631
LCM(26238,26243) = 688563834