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What is the Least Common Multiple of 13733 and 13753?

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 13733 and 13753 is 188869949.

LCM(13733,13753) = 188869949

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Least Common Multiple of 13733 and 13753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13733 and 13753, than apply into the LCM equation.

GCF(13733,13753) = 1
LCM(13733,13753) = ( 13733 × 13753) / 1
LCM(13733,13753) = 188869949 / 1
LCM(13733,13753) = 188869949

Least Common Multiple (LCM) of 13733 and 13753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13733 and 13753. First we will calculate the prime factors of 13733 and 13753.

Prime Factorization of 13733

Prime factors of 13733 are 31, 443. Prime factorization of 13733 in exponential form is:

13733 = 311 × 4431

Prime Factorization of 13753

Prime factors of 13753 are 17, 809. Prime factorization of 13753 in exponential form is:

13753 = 171 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 13733 and 13753.

LCM(13733,13753) = 311 × 4431 × 171 × 8091
LCM(13733,13753) = 188869949