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What is the Least Common Multiple of 26277 and 26297?

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 26277 and 26297 is 691006269.

LCM(26277,26297) = 691006269

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Least Common Multiple of 26277 and 26297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26277 and 26297, than apply into the LCM equation.

GCF(26277,26297) = 1
LCM(26277,26297) = ( 26277 × 26297) / 1
LCM(26277,26297) = 691006269 / 1
LCM(26277,26297) = 691006269

Least Common Multiple (LCM) of 26277 and 26297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26277 and 26297. First we will calculate the prime factors of 26277 and 26297.

Prime Factorization of 26277

Prime factors of 26277 are 3, 19, 461. Prime factorization of 26277 in exponential form is:

26277 = 31 × 191 × 4611

Prime Factorization of 26297

Prime factors of 26297 are 26297. Prime factorization of 26297 in exponential form is:

26297 = 262971

Now multiplying the highest exponent prime factors to calculate the LCM of 26277 and 26297.

LCM(26277,26297) = 31 × 191 × 4611 × 262971
LCM(26277,26297) = 691006269