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What is the Least Common Multiple of 13265 and 13275?

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 13265 and 13275 is 35218575.

LCM(13265,13275) = 35218575

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Least Common Multiple of 13265 and 13275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13265 and 13275, than apply into the LCM equation.

GCF(13265,13275) = 5
LCM(13265,13275) = ( 13265 × 13275) / 5
LCM(13265,13275) = 176092875 / 5
LCM(13265,13275) = 35218575

Least Common Multiple (LCM) of 13265 and 13275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13265 and 13275. First we will calculate the prime factors of 13265 and 13275.

Prime Factorization of 13265

Prime factors of 13265 are 5, 7, 379. Prime factorization of 13265 in exponential form is:

13265 = 51 × 71 × 3791

Prime Factorization of 13275

Prime factors of 13275 are 3, 5, 59. Prime factorization of 13275 in exponential form is:

13275 = 32 × 52 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 13265 and 13275.

LCM(13265,13275) = 52 × 71 × 3791 × 32 × 591
LCM(13265,13275) = 35218575