Least Common Multiple of 1 and 28

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

• Least Common Multiple of 1 and 28 by Prime method
• Least Common Multiple of 1 and 28 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 1 and 28. First we will calculate the prime factors of 1 and 28.

Prime Factorization of 1

Prime Factorization of 28

Prime factors of 28 are 2,7. Prime factorization of 28 in exponential form is:

28 = 2²×7¹

Now multiplying the highest exponent prime factors to calculate the LCM of 1 and 28.

LCM(1,28) = 2²×7¹
LCM(1,28) = 28

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1 and 28, than apply into the LCM equation.

GCF(1,28) = 1
LCM(1,28) = ( 1 × 28) / 1
LCM(1,28) = 28 / 1
LCM(1,28) = 28

(i) The LCM of 28 and 1 is associative

LCM of 1 and 28 = LCM of 28 and 1

1. What is the LCM of 1 and 28?

Answer: LCM of 1 and 28 is 28.

2. What are the Factors of 1?

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

3. What are the Factors of 28?

Answer: Factors of 28 are 1, 2, 4, 7, 14, 28. There are 6 integers that are factors of 28. The greatest factor of 28 is 28.

4. How to Find the LCM of 1 and 28?

Answer:

Least Common Multiple of 1 and 28 = 28

Step 1: Find the prime factorization of 1

1 =

Step 2: Find the prime factorization of 28

28 = 2 x 2 x 7

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

LCM = 28 = 2 x 2 x 7

Step 4: Therefore, the least common multiple of 1 and 28 is 28.