Least Common Multiple of 79 and 85

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

• Least Common Multiple of 79 and 85 by Prime method
• Least Common Multiple of 79 and 85 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 79 and 85. First we will calculate the prime factors of 79 and 85.

Prime Factorization of 79

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

79 = 79¹

Prime Factorization of 85

Prime factors of 85 are 5,17. Prime factorization of 85 in exponential form is:

85 = 5¹×17¹

Now multiplying the highest exponent prime factors to calculate the LCM of 79 and 85.

LCM(79,85) = 5¹×17¹×79¹
LCM(79,85) = 6715

Factors of 79

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

1, 79

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1, 5, 17, 85

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79 and 85, than apply into the LCM equation.

GCF(79,85) = 1
LCM(79,85) = ( 79 × 85) / 1
LCM(79,85) = 6715 / 1
LCM(79,85) = 6715

(i) The LCM of 85 and 79 is associative

LCM of 79 and 85 = LCM of 85 and 79

1. What is the LCM of 79 and 85?

Answer: LCM of 79 and 85 is 6715.

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 85?

Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.

4. How to Find the LCM of 79 and 85?

Answer:

Least Common Multiple of 79 and 85 = 6715

Step 1: Find the prime factorization of 79

79 = 79

Step 2: Find the prime factorization of 85

85 = 5 x 17

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

LCM = 6715 = 5 x 17 x 79

Step 4: Therefore, the least common multiple of 79 and 85 is 6715.