Least Common Multiple of 5 and 19

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

• Least Common Multiple of 5 and 19 by Prime method
• Least Common Multiple of 5 and 19 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 19. First we will calculate the prime factors of 5 and 19.

Prime Factorization of 5

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

5 = 5¹

Prime Factorization of 19

Prime factors of 19 are 19. Prime factorization of 19 in exponential form is:

19 = 19¹

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 19.

LCM(5,19) = 5¹×19¹
LCM(5,19) = 95

Factors of 5

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

1, 5

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1, 19

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5 and 19, than apply into the LCM equation.

GCF(5,19) = 1
LCM(5,19) = ( 5 × 19) / 1
LCM(5,19) = 95 / 1
LCM(5,19) = 95

(i) The LCM of 19 and 5 is associative

LCM of 5 and 19 = LCM of 19 and 5

1. What is the LCM of 5 and 19?

Answer: LCM of 5 and 19 is 95.

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 19?

Answer: Factors of 19 are 1, 19. There are 2 integers that are factors of 19. The greatest factor of 19 is 19.

4. How to Find the LCM of 5 and 19?

Answer:

Least Common Multiple of 5 and 19 = 95

Step 1: Find the prime factorization of 5

5 = 5

Step 2: Find the prime factorization of 19

19 = 19

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

LCM = 95 = 5 x 19

Step 4: Therefore, the least common multiple of 5 and 19 is 95.