Least Common Multiple of 4709 and 4717
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4709 and 4717 the smallest integer that is 22212353 that is divisible by both numbers.
Least Common Multiple (LCM) of 4709 and 4717 is 22212353.
LCM(4709,4717) = 22212353
LCM of 4709 and 4717
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4709 and 4717 by Prime method
- Least Common Multiple of 4709 and 4717 with GCF Formula
LCM of 4709 and 4717 is 22212353
Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4717. First we will calculate the prime factors of 4709 and 4717.
Prime Factorization of 4709
| 17 | 4709 |
| 277 | 277 |
| 1 |
Prime factors of 4709 are 17,277. Prime factorization of 4709 in exponential form is:
4709 = 171×2771
Prime Factorization of 4717
| 53 | 4717 |
| 89 | 89 |
| 1 |
Prime factors of 4717 are 53,89. Prime factorization of 4717 in exponential form is:
4717 = 531×891
Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4717.
LCM(4709,4717) = 171×531×891×2771
LCM(4709,4717) = 22212353
Factors of 4709
List of positive integer factors of 4709 that divides 4709 without a remainder.
1, 17, 277, 4709
Factors of 4717
List of positive integer factors of 4717 that divides 4717 without a remainder.
1, 53, 89, 4717
Least Common Multiple of 4709 and 4717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4709 and 4717, than apply into the LCM equation.
GCF(4709,4717) = 1
LCM(4709,4717) = ( 4709 × 4717) / 1
LCM(4709,4717) = 22212353 / 1
LCM(4709,4717) = 22212353
Properties of LCM 4709 and 4717
(i) The LCM of 4717 and 4709 is associative
LCM of 4709 and 4717 = LCM of 4717 and 4709
Related Least Common Multiples of 4709
Related Least Common Multiples of 4717
Frequently Asked Questions on LCM of 4709 and 4717
1. What is the LCM of 4709 and 4717?
Answer: LCM of 4709 and 4717 is 22212353.
2. What are the Factors of 4709?
Answer: Factors of 4709 are 1, 17, 277, 4709. There are 4 integers that are factors of 4709. The greatest factor of 4709 is 4709.
3. What are the Factors of 4717?
Answer: Factors of 4717 are 1, 53, 89, 4717. There are 4 integers that are factors of 4717. The greatest factor of 4717 is 4717.
4. How to Find the LCM of 4709 and 4717?
Answer:
Least Common Multiple of 4709 and 4717 = 22212353
Step 1: Find the prime factorization of 4709
4709 = 17 x 277
Step 2: Find the prime factorization of 4717
4717 = 53 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22212353 = 17 x 53 x 89 x 277
Step 4: Therefore, the least common multiple of 4709 and 4717 is 22212353.
