Least Common Multiple of 71 and 5

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

• Least Common Multiple of 71 and 5 by Prime method
• Least Common Multiple of 71 and 5 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 71 and 5. First we will calculate the prime factors of 71 and 5.

Prime Factorization of 71

Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:

71 = 71¹

Prime Factorization of 5

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

5 = 5¹

Now multiplying the highest exponent prime factors to calculate the LCM of 71 and 5.

LCM(71,5) = 5¹×71¹
LCM(71,5) = 355

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1, 71

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1, 5

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71 and 5, than apply into the LCM equation.

GCF(71,5) = 1
LCM(71,5) = ( 71 × 5) / 1
LCM(71,5) = 355 / 1
LCM(71,5) = 355

(i) The LCM of 5 and 71 is associative

LCM of 71 and 5 = LCM of 5 and 71

1. What is the LCM of 71 and 5?

Answer: LCM of 71 and 5 is 355.

2. What are the Factors of 71?

Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.

3. What are the Factors of 5?

Answer: Factors of 5 are 1, 5. There are 2 integers that are factors of 5. The greatest factor of 5 is 5.

4. How to Find the LCM of 71 and 5?

Answer:

Least Common Multiple of 71 and 5 = 355

Step 1: Find the prime factorization of 71

71 = 71

Step 2: Find the prime factorization of 5

5 = 5

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

LCM = 355 = 5 x 71

Step 4: Therefore, the least common multiple of 71 and 5 is 355.