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What is the Least Common Multiple of 26257 and 26268?

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 26257 and 26268 is 62701716.

LCM(26257,26268) = 62701716

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Least Common Multiple of 26257 and 26268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26257 and 26268, than apply into the LCM equation.

GCF(26257,26268) = 11
LCM(26257,26268) = ( 26257 × 26268) / 11
LCM(26257,26268) = 689718876 / 11
LCM(26257,26268) = 62701716

Least Common Multiple (LCM) of 26257 and 26268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26257 and 26268. First we will calculate the prime factors of 26257 and 26268.

Prime Factorization of 26257

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

26257 = 71 × 112 × 311

Prime Factorization of 26268

Prime factors of 26268 are 2, 3, 11, 199. Prime factorization of 26268 in exponential form is:

26268 = 22 × 31 × 111 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 26257 and 26268.

LCM(26257,26268) = 71 × 112 × 311 × 22 × 31 × 1991
LCM(26257,26268) = 62701716