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What is the Least Common Multiple of 13778 and 13792?

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 13778 and 13792 is 95013088.

LCM(13778,13792) = 95013088

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Least Common Multiple of 13778 and 13792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13778 and 13792, than apply into the LCM equation.

GCF(13778,13792) = 2
LCM(13778,13792) = ( 13778 × 13792) / 2
LCM(13778,13792) = 190026176 / 2
LCM(13778,13792) = 95013088

Least Common Multiple (LCM) of 13778 and 13792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13778 and 13792. First we will calculate the prime factors of 13778 and 13792.

Prime Factorization of 13778

Prime factors of 13778 are 2, 83. Prime factorization of 13778 in exponential form is:

13778 = 21 × 832

Prime Factorization of 13792

Prime factors of 13792 are 2, 431. Prime factorization of 13792 in exponential form is:

13792 = 25 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 13778 and 13792.

LCM(13778,13792) = 25 × 832 × 4311
LCM(13778,13792) = 95013088