Least Common Multiple of 4709 and 4713
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 4713 the smallest integer that is 22193517 that is divisible by both numbers.
Least Common Multiple (LCM) of 4709 and 4713 is 22193517.
LCM(4709,4713) = 22193517
LCM of 4709 and 4713
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4709 and 4713 by Prime method
- Least Common Multiple of 4709 and 4713 with GCF Formula
LCM of 4709 and 4713 is 22193517
Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4713. First we will calculate the prime factors of 4709 and 4713.
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 4713
| 3 | 4713 |
| 1571 | 1571 |
| 1 |
Prime factors of 4713 are 3,1571. Prime factorization of 4713 in exponential form is:
4713 = 31×15711
Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4713.
LCM(4709,4713) = 31×171×2771×15711
LCM(4709,4713) = 22193517
Factors of 4709
List of positive integer factors of 4709 that divides 4709 without a remainder.
1, 17, 277, 4709
Factors of 4713
List of positive integer factors of 4713 that divides 4713 without a remainder.
1, 3, 1571, 4713
Least Common Multiple of 4709 and 4713 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 4713, than apply into the LCM equation.
GCF(4709,4713) = 1
LCM(4709,4713) = ( 4709 × 4713) / 1
LCM(4709,4713) = 22193517 / 1
LCM(4709,4713) = 22193517
Properties of LCM 4709 and 4713
(i) The LCM of 4713 and 4709 is associative
LCM of 4709 and 4713 = LCM of 4713 and 4709
Related Least Common Multiples of 4709
Related Least Common Multiples of 4713
Frequently Asked Questions on LCM of 4709 and 4713
1. What is the LCM of 4709 and 4713?
Answer: LCM of 4709 and 4713 is 22193517.
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 4713?
Answer: Factors of 4713 are 1, 3, 1571, 4713. There are 4 integers that are factors of 4713. The greatest factor of 4713 is 4713.
4. How to Find the LCM of 4709 and 4713?
Answer:
Least Common Multiple of 4709 and 4713 = 22193517
Step 1: Find the prime factorization of 4709
4709 = 17 x 277
Step 2: Find the prime factorization of 4713
4713 = 3 x 1571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22193517 = 3 x 17 x 277 x 1571
Step 4: Therefore, the least common multiple of 4709 and 4713 is 22193517.
