Least Common Multiple of 4706 and 4709
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4706 and 4709 the smallest integer that is 22160554 that is divisible by both numbers.
Least Common Multiple (LCM) of 4706 and 4709 is 22160554.
LCM(4706,4709) = 22160554
LCM of 4706 and 4709
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4706 and 4709 by Prime method
- Least Common Multiple of 4706 and 4709 with GCF Formula
LCM of 4706 and 4709 is 22160554
Least common multiple can be found by multiplying the highest exponent prime factors of 4706 and 4709. First we will calculate the prime factors of 4706 and 4709.
Prime Factorization of 4706
| 2 | 4706 |
| 13 | 2353 |
| 181 | 181 |
| 1 |
Prime factors of 4706 are 2, 13,181. Prime factorization of 4706 in exponential form is:
4706 = 21×131×1811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4706 and 4709.
LCM(4706,4709) = 21×131×171×1811×2771
LCM(4706,4709) = 22160554
Factors of 4706
List of positive integer factors of 4706 that divides 4706 without a remainder.
1, 2, 13, 26, 181, 362, 2353, 4706
Factors of 4709
List of positive integer factors of 4709 that divides 4709 without a remainder.
1, 17, 277, 4709
Least Common Multiple of 4706 and 4709 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4706 and 4709, than apply into the LCM equation.
GCF(4706,4709) = 1
LCM(4706,4709) = ( 4706 × 4709) / 1
LCM(4706,4709) = 22160554 / 1
LCM(4706,4709) = 22160554
Properties of LCM 4706 and 4709
(i) The LCM of 4709 and 4706 is associative
LCM of 4706 and 4709 = LCM of 4709 and 4706
Related Least Common Multiples of 4706
Related Least Common Multiples of 4709
Frequently Asked Questions on LCM of 4706 and 4709
1. What is the LCM of 4706 and 4709?
Answer: LCM of 4706 and 4709 is 22160554.
2. What are the Factors of 4706?
Answer: Factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706. There are 8 integers that are factors of 4706. The greatest factor of 4706 is 4706.
3. 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.
4. How to Find the LCM of 4706 and 4709?
Answer:
Least Common Multiple of 4706 and 4709 = 22160554
Step 1: Find the prime factorization of 4706
4706 = 2 x 13 x 181
Step 2: Find the prime factorization of 4709
4709 = 17 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22160554 = 2 x 13 x 17 x 181 x 277
Step 4: Therefore, the least common multiple of 4706 and 4709 is 22160554.