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What is the Least Common Multiple of 27376 and 27384?

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 27376 and 27384 is 93708048.

LCM(27376,27384) = 93708048

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Least Common Multiple of 27376 and 27384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27376 and 27384, than apply into the LCM equation.

GCF(27376,27384) = 8
LCM(27376,27384) = ( 27376 × 27384) / 8
LCM(27376,27384) = 749664384 / 8
LCM(27376,27384) = 93708048

Least Common Multiple (LCM) of 27376 and 27384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27376 and 27384. First we will calculate the prime factors of 27376 and 27384.

Prime Factorization of 27376

Prime factors of 27376 are 2, 29, 59. Prime factorization of 27376 in exponential form is:

27376 = 24 × 291 × 591

Prime Factorization of 27384

Prime factors of 27384 are 2, 3, 7, 163. Prime factorization of 27384 in exponential form is:

27384 = 23 × 31 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 27376 and 27384.

LCM(27376,27384) = 24 × 291 × 591 × 31 × 71 × 1631
LCM(27376,27384) = 93708048