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What is the Least Common Multiple of 27392 and 27412?

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 27392 and 27412 is 187717376.

LCM(27392,27412) = 187717376

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Least Common Multiple of 27392 and 27412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27392 and 27412, than apply into the LCM equation.

GCF(27392,27412) = 4
LCM(27392,27412) = ( 27392 × 27412) / 4
LCM(27392,27412) = 750869504 / 4
LCM(27392,27412) = 187717376

Least Common Multiple (LCM) of 27392 and 27412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27392 and 27412. First we will calculate the prime factors of 27392 and 27412.

Prime Factorization of 27392

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

27392 = 28 × 1071

Prime Factorization of 27412

Prime factors of 27412 are 2, 7, 11, 89. Prime factorization of 27412 in exponential form is:

27412 = 22 × 71 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 27392 and 27412.

LCM(27392,27412) = 28 × 1071 × 71 × 111 × 891
LCM(27392,27412) = 187717376