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What is the Least Common Multiple of 27168 and 27184?

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 27168 and 27184 is 46158432.

LCM(27168,27184) = 46158432

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Least Common Multiple of 27168 and 27184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27168 and 27184, than apply into the LCM equation.

GCF(27168,27184) = 16
LCM(27168,27184) = ( 27168 × 27184) / 16
LCM(27168,27184) = 738534912 / 16
LCM(27168,27184) = 46158432

Least Common Multiple (LCM) of 27168 and 27184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27168 and 27184. First we will calculate the prime factors of 27168 and 27184.

Prime Factorization of 27168

Prime factors of 27168 are 2, 3, 283. Prime factorization of 27168 in exponential form is:

27168 = 25 × 31 × 2831

Prime Factorization of 27184

Prime factors of 27184 are 2, 1699. Prime factorization of 27184 in exponential form is:

27184 = 24 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 27168 and 27184.

LCM(27168,27184) = 25 × 31 × 2831 × 16991
LCM(27168,27184) = 46158432