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What is the Least Common Multiple of 27786 and 27792?

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 27786 and 27792 is 128704752.

LCM(27786,27792) = 128704752

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Least Common Multiple of 27786 and 27792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27786 and 27792, than apply into the LCM equation.

GCF(27786,27792) = 6
LCM(27786,27792) = ( 27786 × 27792) / 6
LCM(27786,27792) = 772228512 / 6
LCM(27786,27792) = 128704752

Least Common Multiple (LCM) of 27786 and 27792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27786 and 27792. First we will calculate the prime factors of 27786 and 27792.

Prime Factorization of 27786

Prime factors of 27786 are 2, 3, 11, 421. Prime factorization of 27786 in exponential form is:

27786 = 21 × 31 × 111 × 4211

Prime Factorization of 27792

Prime factors of 27792 are 2, 3, 193. Prime factorization of 27792 in exponential form is:

27792 = 24 × 32 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 27786 and 27792.

LCM(27786,27792) = 24 × 32 × 111 × 4211 × 1931
LCM(27786,27792) = 128704752