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What is the Least Common Multiple of 27328 and 27344?

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 27328 and 27344 is 46703552.

LCM(27328,27344) = 46703552

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Least Common Multiple of 27328 and 27344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27328 and 27344, than apply into the LCM equation.

GCF(27328,27344) = 16
LCM(27328,27344) = ( 27328 × 27344) / 16
LCM(27328,27344) = 747256832 / 16
LCM(27328,27344) = 46703552

Least Common Multiple (LCM) of 27328 and 27344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27328 and 27344. First we will calculate the prime factors of 27328 and 27344.

Prime Factorization of 27328

Prime factors of 27328 are 2, 7, 61. Prime factorization of 27328 in exponential form is:

27328 = 26 × 71 × 611

Prime Factorization of 27344

Prime factors of 27344 are 2, 1709. Prime factorization of 27344 in exponential form is:

27344 = 24 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 27328 and 27344.

LCM(27328,27344) = 26 × 71 × 611 × 17091
LCM(27328,27344) = 46703552