Least Common Multiple of 47 and 55

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

• Least Common Multiple of 47 and 55 by Prime method
• Least Common Multiple of 47 and 55 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 47 and 55. First we will calculate the prime factors of 47 and 55.

Prime Factorization of 47

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

47 = 47¹

Prime Factorization of 55

Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:

55 = 5¹×11¹

Now multiplying the highest exponent prime factors to calculate the LCM of 47 and 55.

LCM(47,55) = 5¹×11¹×47¹
LCM(47,55) = 2585

Factors of 47

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

1, 47

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1, 5, 11, 55

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47 and 55, than apply into the LCM equation.

GCF(47,55) = 1
LCM(47,55) = ( 47 × 55) / 1
LCM(47,55) = 2585 / 1
LCM(47,55) = 2585

(i) The LCM of 55 and 47 is associative

LCM of 47 and 55 = LCM of 55 and 47

1. What is the LCM of 47 and 55?

Answer: LCM of 47 and 55 is 2585.

2. 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.

3. What are the Factors of 55?

Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.

4. How to Find the LCM of 47 and 55?

Answer:

Least Common Multiple of 47 and 55 = 2585

Step 1: Find the prime factorization of 47

47 = 47

Step 2: Find the prime factorization of 55

55 = 5 x 11

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

LCM = 2585 = 5 x 11 x 47

Step 4: Therefore, the least common multiple of 47 and 55 is 2585.