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What is the Least Common Multiple of 5269 and 5285?

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 5269 and 5285 is 27846665.

LCM(5269,5285) = 27846665

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Least Common Multiple of 5269 and 5285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5269 and 5285, than apply into the LCM equation.

GCF(5269,5285) = 1
LCM(5269,5285) = ( 5269 × 5285) / 1
LCM(5269,5285) = 27846665 / 1
LCM(5269,5285) = 27846665

Least Common Multiple (LCM) of 5269 and 5285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5269 and 5285. First we will calculate the prime factors of 5269 and 5285.

Prime Factorization of 5269

Prime factors of 5269 are 11, 479. Prime factorization of 5269 in exponential form is:

5269 = 111 × 4791

Prime Factorization of 5285

Prime factors of 5285 are 5, 7, 151. Prime factorization of 5285 in exponential form is:

5285 = 51 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5269 and 5285.

LCM(5269,5285) = 111 × 4791 × 51 × 71 × 1511
LCM(5269,5285) = 27846665