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What is the Least Common Multiple of 13263 and 13277?

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 13277 is 176092851.

LCM(13263,13277) = 176092851

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Least Common Multiple of 13263 and 13277 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 13277, than apply into the LCM equation.

GCF(13263,13277) = 1
LCM(13263,13277) = ( 13263 × 13277) / 1
LCM(13263,13277) = 176092851 / 1
LCM(13263,13277) = 176092851

Least Common Multiple (LCM) of 13263 and 13277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13263 and 13277. First we will calculate the prime factors of 13263 and 13277.

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 13277

Prime factors of 13277 are 11, 17, 71. Prime factorization of 13277 in exponential form is:

13277 = 111 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 13263 and 13277.

LCM(13263,13277) = 31 × 44211 × 111 × 171 × 711
LCM(13263,13277) = 176092851