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What is the Least Common Multiple of 5260 and 5269?

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 5260 and 5269 is 27714940.

LCM(5260,5269) = 27714940

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Least Common Multiple of 5260 and 5269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5260 and 5269, than apply into the LCM equation.

GCF(5260,5269) = 1
LCM(5260,5269) = ( 5260 × 5269) / 1
LCM(5260,5269) = 27714940 / 1
LCM(5260,5269) = 27714940

Least Common Multiple (LCM) of 5260 and 5269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5260 and 5269. First we will calculate the prime factors of 5260 and 5269.

Prime Factorization of 5260

Prime factors of 5260 are 2, 5, 263. Prime factorization of 5260 in exponential form is:

5260 = 22 × 51 × 2631

Prime Factorization of 5269

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

5269 = 111 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 5260 and 5269.

LCM(5260,5269) = 22 × 51 × 2631 × 111 × 4791
LCM(5260,5269) = 27714940