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What is the Least Common Multiple of 13263 and 13280?

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 13263 and 13280 is 176132640.

LCM(13263,13280) = 176132640

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Least Common Multiple of 13263 and 13280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13263 and 13280, than apply into the LCM equation.

GCF(13263,13280) = 1
LCM(13263,13280) = ( 13263 × 13280) / 1
LCM(13263,13280) = 176132640 / 1
LCM(13263,13280) = 176132640

Least Common Multiple (LCM) of 13263 and 13280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13263 and 13280. First we will calculate the prime factors of 13263 and 13280.

Prime Factorization of 13263

Prime factors of 13263 are 3, 4421. Prime factorization of 13263 in exponential form is:

13263 = 31 × 44211

Prime Factorization of 13280

Prime factors of 13280 are 2, 5, 83. Prime factorization of 13280 in exponential form is:

13280 = 25 × 51 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 13263 and 13280.

LCM(13263,13280) = 31 × 44211 × 25 × 51 × 831
LCM(13263,13280) = 176132640