Least Common Multiple of 71 and 79

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

• Least Common Multiple of 71 and 79 by Prime method
• Least Common Multiple of 71 and 79 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 71 and 79. First we will calculate the prime factors of 71 and 79.

Prime Factorization of 71

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

71 = 71¹

Prime Factorization of 79

Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:

79 = 79¹

Now multiplying the highest exponent prime factors to calculate the LCM of 71 and 79.

LCM(71,79) = 71¹×79¹
LCM(71,79) = 5609

Factors of 71

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

1, 71

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1, 79

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71 and 79, than apply into the LCM equation.

GCF(71,79) = 1
LCM(71,79) = ( 71 × 79) / 1
LCM(71,79) = 5609 / 1
LCM(71,79) = 5609

(i) The LCM of 79 and 71 is associative

LCM of 71 and 79 = LCM of 79 and 71

1. What is the LCM of 71 and 79?

Answer: LCM of 71 and 79 is 5609.

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 79?

Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.

4. How to Find the LCM of 71 and 79?

Answer:

Least Common Multiple of 71 and 79 = 5609

Step 1: Find the prime factorization of 71

71 = 71

Step 2: Find the prime factorization of 79

79 = 79

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

LCM = 5609 = 71 x 79

Step 4: Therefore, the least common multiple of 71 and 79 is 5609.