Least Common Multiple of 5 and 17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 5 and 17 the smallest integer that is 85 that is divisible by both numbers.

Least Common Multiple (LCM) of 5 and 17 is 85.

LCM(5,17) = 85

LCM of 5 and 17

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

LCM of:
and

Least Common Multiple of 5 and 17

LCM of 5 and 17 is 85

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 17. First we will calculate the prime factors of 5 and 17.

Prime Factorization of 5


5 5
1

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

5 = 51

Prime Factorization of 17


17 17
1

Prime factors of 17 are 17. Prime factorization of 17 in exponential form is:

17 = 171

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 17.

LCM(5,17) = 51×171
LCM(5,17) = 85

Factors of 5

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

1, 5

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1, 17

Least Common Multiple of 5 and 17 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5 and 17, than apply into the LCM equation.

GCF(5,17) = 1
LCM(5,17) = ( 5 × 17) / 1
LCM(5,17) = 85 / 1
LCM(5,17) = 85

Properties of LCM 5 and 17

(i) The LCM of 17 and 5 is associative

LCM of 5 and 17 = LCM of 17 and 5

Frequently Asked Questions on LCM of 5 and 17

1. What is the LCM of 5 and 17?

Answer: LCM of 5 and 17 is 85.

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 17?

Answer: Factors of 17 are 1, 17. There are 2 integers that are factors of 17. The greatest factor of 17 is 17.

4. How to Find the LCM of 5 and 17?

Answer:

Least Common Multiple of 5 and 17 = 85

Step 1: Find the prime factorization of 5

5 = 5

Step 2: Find the prime factorization of 17

17 = 17

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

LCM = 85 = 5 x 17

Step 4: Therefore, the least common multiple of 5 and 17 is 85.