Question

27 and 45 LCM with a solution​

Answer 1

Answer:

Step-by-step explanation:

Find the prime factorization of 27

27 = 3 × 3 × 3

Find the prime factorization of 45

45 = 3 × 3 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 3 × 3 × 3 × 5

LCM = 135

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Answer 2

Least Common Multiple of 27 and 45 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 27 and 45, than apply into the LCM equation.

GCF(27,45) = 9

LCM(27,45) = ( 27 × 45) / 9

LCM(27,45) = 1215 / 9

LCM(27,45) = 135

Least Common Multiple (LCM) of 27 and 45 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27 and 45. First we will calculate the prime factors of 27 and 45.

Prime Factorization of 27

Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:

27 = 33

Prime Factorization of 45

Prime factors of 45 are 3, 5. Prime factorization of 45 in exponential form is:

45 = 32 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 27 and 45.

LCM(27,45) = 33 × 51

LCM(27,45) = 135