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What is the Least Common Multiple of 27028 and 27032?

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 27028 and 27032 is 182655224.

LCM(27028,27032) = 182655224

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Least Common Multiple of 27028 and 27032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27028 and 27032, than apply into the LCM equation.

GCF(27028,27032) = 4
LCM(27028,27032) = ( 27028 × 27032) / 4
LCM(27028,27032) = 730620896 / 4
LCM(27028,27032) = 182655224

Least Common Multiple (LCM) of 27028 and 27032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27028 and 27032. First we will calculate the prime factors of 27028 and 27032.

Prime Factorization of 27028

Prime factors of 27028 are 2, 29, 233. Prime factorization of 27028 in exponential form is:

27028 = 22 × 291 × 2331

Prime Factorization of 27032

Prime factors of 27032 are 2, 31, 109. Prime factorization of 27032 in exponential form is:

27032 = 23 × 311 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 27028 and 27032.

LCM(27028,27032) = 23 × 291 × 2331 × 311 × 1091
LCM(27028,27032) = 182655224