Least Common Multiple of 79 and 82

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

• Least Common Multiple of 79 and 82 by Prime method
• Least Common Multiple of 79 and 82 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 79 and 82. First we will calculate the prime factors of 79 and 82.

Prime Factorization of 79

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

79 = 79¹

Prime Factorization of 82

Prime factors of 82 are 2,41. Prime factorization of 82 in exponential form is:

82 = 2¹×41¹

Now multiplying the highest exponent prime factors to calculate the LCM of 79 and 82.

LCM(79,82) = 2¹×41¹×79¹
LCM(79,82) = 6478

Factors of 79

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

1, 79

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1, 2, 41, 82

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79 and 82, than apply into the LCM equation.

GCF(79,82) = 1
LCM(79,82) = ( 79 × 82) / 1
LCM(79,82) = 6478 / 1
LCM(79,82) = 6478

(i) The LCM of 82 and 79 is associative

LCM of 79 and 82 = LCM of 82 and 79

1. What is the LCM of 79 and 82?

Answer: LCM of 79 and 82 is 6478.

2. 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.

3. What are the Factors of 82?

Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.

4. How to Find the LCM of 79 and 82?

Answer:

Least Common Multiple of 79 and 82 = 6478

Step 1: Find the prime factorization of 79

79 = 79

Step 2: Find the prime factorization of 82

82 = 2 x 41

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

LCM = 6478 = 2 x 41 x 79

Step 4: Therefore, the least common multiple of 79 and 82 is 6478.