Least Common Multiple of 79 and 55

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

• Least Common Multiple of 79 and 55 by Prime method
• Least Common Multiple of 79 and 55 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 79 and 55. First we will calculate the prime factors of 79 and 55.

Prime Factorization of 79

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

79 = 79¹

Prime Factorization of 55

Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:

55 = 5¹×11¹

Now multiplying the highest exponent prime factors to calculate the LCM of 79 and 55.

LCM(79,55) = 5¹×11¹×79¹
LCM(79,55) = 4345

Factors of 79

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

1, 79

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1, 5, 11, 55

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79 and 55, than apply into the LCM equation.

GCF(79,55) = 1
LCM(79,55) = ( 79 × 55) / 1
LCM(79,55) = 4345 / 1
LCM(79,55) = 4345

(i) The LCM of 55 and 79 is associative

LCM of 79 and 55 = LCM of 55 and 79

1. What is the LCM of 79 and 55?

Answer: LCM of 79 and 55 is 4345.

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 55?

Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.

4. How to Find the LCM of 79 and 55?

Answer:

Least Common Multiple of 79 and 55 = 4345

Step 1: Find the prime factorization of 79

79 = 79

Step 2: Find the prime factorization of 55

55 = 5 x 11

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

LCM = 4345 = 5 x 11 x 79

Step 4: Therefore, the least common multiple of 79 and 55 is 4345.