What is the LCM of 17 and 5?
The least possible number which is exactly divisible by both 17 and 5 is the LCM of 17 and 5
Answer: LCM of 17 and 5 is 85
We will learn two methods to find LCM of 17 and 5.
The least common multiple is the smallest or least possible number which is exactly divisible by the given numbers.
Method 1: LCM of 20 and 30 by Method of Prime Factorisation
Steps to find LCM by using prime factorization are given below.
Step 1: Write the prime factorized form which must be in exponential notation.
Step 2: Take the product of factors with their highest power.
17 in Prime Factorised form: 17
5 in Prime Factorised form: 5
Therefore, LCM of 17 and 5: 17 × 5 = 85
Method 2: LCM of 20 and 30 by List of Multiples Method
- Write the multiples of 17 and 5.
- Spot the ones which are common to the multiples of 17 and 5.
- Take the one which is the smallest among the common ones as the LCM of 17 and 5.