Least Common Multiple of 5 and 23

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

• Least Common Multiple of 5 and 23 by Prime method
• Least Common Multiple of 5 and 23 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 23. First we will calculate the prime factors of 5 and 23.

Prime Factorization of 5

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

5 = 5¹

Prime Factorization of 23

Prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 23¹

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 23.

LCM(5,23) = 5¹×23¹
LCM(5,23) = 115

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1, 5

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1, 23

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5 and 23, than apply into the LCM equation.

GCF(5,23) = 1
LCM(5,23) = ( 5 × 23) / 1
LCM(5,23) = 115 / 1
LCM(5,23) = 115

(i) The LCM of 23 and 5 is associative

LCM of 5 and 23 = LCM of 23 and 5

1. What is the LCM of 5 and 23?

Answer: LCM of 5 and 23 is 115.

2. What are the Factors of 5?

Answer: Factors of 5 are 1, 5. There are 2 integers that are factors of 5. The greatest factor of 5 is 5.

3. What are the Factors of 23?

Answer: Factors of 23 are 1, 23. There are 2 integers that are factors of 23. The greatest factor of 23 is 23.

4. How to Find the LCM of 5 and 23?

Answer:

Least Common Multiple of 5 and 23 = 115

Step 1: Find the prime factorization of 5

5 = 5

Step 2: Find the prime factorization of 23

23 = 23

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

LCM = 115 = 5 x 23

Step 4: Therefore, the least common multiple of 5 and 23 is 115.