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What is the Least Common Multiple of 27379 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 27379 and 27392 is 749965568.

LCM(27379,27392) = 749965568

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Least Common Multiple of 27379 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 27379 and 27392, than apply into the LCM equation.

GCF(27379,27392) = 1
LCM(27379,27392) = ( 27379 × 27392) / 1
LCM(27379,27392) = 749965568 / 1
LCM(27379,27392) = 749965568

Least Common Multiple (LCM) of 27379 and 27392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27379 and 27392. First we will calculate the prime factors of 27379 and 27392.

Prime Factorization of 27379

Prime factors of 27379 are 11, 19, 131. Prime factorization of 27379 in exponential form is:

27379 = 111 × 191 × 1311

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 27379 and 27392.

LCM(27379,27392) = 111 × 191 × 1311 × 28 × 1071
LCM(27379,27392) = 749965568