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What is the Least Common Multiple of 13455 and 13461?

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 13455 and 13461 is 60372585.

LCM(13455,13461) = 60372585

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Least Common Multiple of 13455 and 13461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13455 and 13461, than apply into the LCM equation.

GCF(13455,13461) = 3
LCM(13455,13461) = ( 13455 × 13461) / 3
LCM(13455,13461) = 181117755 / 3
LCM(13455,13461) = 60372585

Least Common Multiple (LCM) of 13455 and 13461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13455 and 13461. First we will calculate the prime factors of 13455 and 13461.

Prime Factorization of 13455

Prime factors of 13455 are 3, 5, 13, 23. Prime factorization of 13455 in exponential form is:

13455 = 32 × 51 × 131 × 231

Prime Factorization of 13461

Prime factors of 13461 are 3, 7, 641. Prime factorization of 13461 in exponential form is:

13461 = 31 × 71 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 13455 and 13461.

LCM(13455,13461) = 32 × 51 × 131 × 231 × 71 × 6411
LCM(13455,13461) = 60372585