Least Common Multiple of 5 and 25

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

• Least Common Multiple of 5 and 25 by Prime method
• Least Common Multiple of 5 and 25 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 25. First we will calculate the prime factors of 5 and 25.

Prime Factorization of 5

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

5 = 5¹

Prime Factorization of 25

Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:

25 = 5²

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 25.

LCM(5,25) = 5²
LCM(5,25) = 25

Factors of 5

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

1, 5

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1, 5, 25

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5 and 25, than apply into the LCM equation.

GCF(5,25) = 5
LCM(5,25) = ( 5 × 25) / 5
LCM(5,25) = 125 / 5
LCM(5,25) = 25

(i) The LCM of 25 and 5 is associative

LCM of 5 and 25 = LCM of 25 and 5

1. What is the LCM of 5 and 25?

Answer: LCM of 5 and 25 is 25.

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 25?

Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.

4. How to Find the LCM of 5 and 25?

Answer:

Least Common Multiple of 5 and 25 = 25

Step 1: Find the prime factorization of 5

5 = 5

Step 2: Find the prime factorization of 25

25 = 5 x 5

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

LCM = 25 = 5 x 5

Step 4: Therefore, the least common multiple of 5 and 25 is 25.