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What is the Least Common Multiple of 13768 and 13779?

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 13768 and 13779 is 189709272.

LCM(13768,13779) = 189709272

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Least Common Multiple of 13768 and 13779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13768 and 13779, than apply into the LCM equation.

GCF(13768,13779) = 1
LCM(13768,13779) = ( 13768 × 13779) / 1
LCM(13768,13779) = 189709272 / 1
LCM(13768,13779) = 189709272

Least Common Multiple (LCM) of 13768 and 13779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13768 and 13779. First we will calculate the prime factors of 13768 and 13779.

Prime Factorization of 13768

Prime factors of 13768 are 2, 1721. Prime factorization of 13768 in exponential form is:

13768 = 23 × 17211

Prime Factorization of 13779

Prime factors of 13779 are 3, 1531. Prime factorization of 13779 in exponential form is:

13779 = 32 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 13768 and 13779.

LCM(13768,13779) = 23 × 17211 × 32 × 15311
LCM(13768,13779) = 189709272