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What is the Least Common Multiple of 13255 and 13270?

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 13255 and 13270 is 35178770.

LCM(13255,13270) = 35178770

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Least Common Multiple of 13255 and 13270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13255 and 13270, than apply into the LCM equation.

GCF(13255,13270) = 5
LCM(13255,13270) = ( 13255 × 13270) / 5
LCM(13255,13270) = 175893850 / 5
LCM(13255,13270) = 35178770

Least Common Multiple (LCM) of 13255 and 13270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13255 and 13270. First we will calculate the prime factors of 13255 and 13270.

Prime Factorization of 13255

Prime factors of 13255 are 5, 11, 241. Prime factorization of 13255 in exponential form is:

13255 = 51 × 111 × 2411

Prime Factorization of 13270

Prime factors of 13270 are 2, 5, 1327. Prime factorization of 13270 in exponential form is:

13270 = 21 × 51 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 13255 and 13270.

LCM(13255,13270) = 51 × 111 × 2411 × 21 × 13271
LCM(13255,13270) = 35178770