Least Common Multiple of 27 and 47

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 27 and 47 by Prime method
• Least Common Multiple of 27 and 47 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 27 and 47. First we will calculate the prime factors of 27 and 47.

Prime Factorization of 27

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

27 = 3³

Prime Factorization of 47

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 47¹

Now multiplying the highest exponent prime factors to calculate the LCM of 27 and 47.

LCM(27,47) = 3³×47¹
LCM(27,47) = 1269

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1, 47

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27 and 47, than apply into the LCM equation.

GCF(27,47) = 1
LCM(27,47) = ( 27 × 47) / 1
LCM(27,47) = 1269 / 1
LCM(27,47) = 1269

(i) The LCM of 47 and 27 is associative

LCM of 27 and 47 = LCM of 47 and 27

1. What is the LCM of 27 and 47?

Answer: LCM of 27 and 47 is 1269.

2. What are the Factors of 27?

Answer: Factors of 27 are 1, 3, 9, 27. There are 4 integers that are factors of 27. The greatest factor of 27 is 27.

3. What are the Factors of 47?

Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.

4. How to Find the LCM of 27 and 47?

Answer:

Least Common Multiple of 27 and 47 = 1269

Step 1: Find the prime factorization of 27

27 = 3 x 3 x 3

Step 2: Find the prime factorization of 47

47 = 47

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1269 = 3 x 3 x 3 x 47

Step 4: Therefore, the least common multiple of 27 and 47 is 1269.