Least Common Multiple of 79 and 9

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

• Least Common Multiple of 79 and 9 by Prime method
• Least Common Multiple of 79 and 9 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 79 and 9. First we will calculate the prime factors of 79 and 9.

Prime Factorization of 79

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

79 = 79¹

Prime Factorization of 9

Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:

9 = 3²

Now multiplying the highest exponent prime factors to calculate the LCM of 79 and 9.

LCM(79,9) = 3²×79¹
LCM(79,9) = 711

Factors of 79

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

1, 79

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1, 3, 9

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79 and 9, than apply into the LCM equation.

GCF(79,9) = 1
LCM(79,9) = ( 79 × 9) / 1
LCM(79,9) = 711 / 1
LCM(79,9) = 711

(i) The LCM of 9 and 79 is associative

LCM of 79 and 9 = LCM of 9 and 79

1. What is the LCM of 79 and 9?

Answer: LCM of 79 and 9 is 711.

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 9?

Answer: Factors of 9 are 1, 3, 9. There are 3 integers that are factors of 9. The greatest factor of 9 is 9.

4. How to Find the LCM of 79 and 9?

Answer:

Least Common Multiple of 79 and 9 = 711

Step 1: Find the prime factorization of 79

79 = 79

Step 2: Find the prime factorization of 9

9 = 3 x 3

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

LCM = 711 = 3 x 3 x 79

Step 4: Therefore, the least common multiple of 79 and 9 is 711.