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What is the Least Common Multiple of 26238 and 26257?

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 26257 is 688931166.

LCM(26238,26257) = 688931166

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Least Common Multiple of 26238 and 26257 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 26257, than apply into the LCM equation.

GCF(26238,26257) = 1
LCM(26238,26257) = ( 26238 × 26257) / 1
LCM(26238,26257) = 688931166 / 1
LCM(26238,26257) = 688931166

Least Common Multiple (LCM) of 26238 and 26257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26238 and 26257. First we will calculate the prime factors of 26238 and 26257.

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 26257

Prime factors of 26257 are 7, 11, 31. Prime factorization of 26257 in exponential form is:

26257 = 71 × 112 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 26238 and 26257.

LCM(26238,26257) = 21 × 31 × 43731 × 71 × 112 × 311
LCM(26238,26257) = 688931166