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What is the Least Common Multiple of 27378 and 27392?

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 27378 and 27392 is 374969088.

LCM(27378,27392) = 374969088

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Least Common Multiple of 27378 and 27392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27378 and 27392, than apply into the LCM equation.

GCF(27378,27392) = 2
LCM(27378,27392) = ( 27378 × 27392) / 2
LCM(27378,27392) = 749938176 / 2
LCM(27378,27392) = 374969088

Least Common Multiple (LCM) of 27378 and 27392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27378 and 27392. First we will calculate the prime factors of 27378 and 27392.

Prime Factorization of 27378

Prime factors of 27378 are 2, 3, 13. Prime factorization of 27378 in exponential form is:

27378 = 21 × 34 × 132

Prime Factorization of 27392

Prime factors of 27392 are 2, 107. Prime factorization of 27392 in exponential form is:

27392 = 28 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 27378 and 27392.

LCM(27378,27392) = 28 × 34 × 132 × 1071
LCM(27378,27392) = 374969088