Least Common Multiple of 4701 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 4701 and 4709 the smallest integer that is 22137009 that is divisible by both numbers.
Least Common Multiple (LCM) of 4701 and 4709 is 22137009.
LCM(4701,4709) = 22137009
LCM of 4701 and 4709
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4701 and 4709 by Prime method
- Least Common Multiple of 4701 and 4709 with GCF Formula
LCM of 4701 and 4709 is 22137009
Least common multiple can be found by multiplying the highest exponent prime factors of 4701 and 4709. First we will calculate the prime factors of 4701 and 4709.
Prime Factorization of 4701
| 3 | 4701 |
| 1567 | 1567 |
| 1 |
Prime factors of 4701 are 3,1567. Prime factorization of 4701 in exponential form is:
4701 = 31×15671
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 4701 and 4709.
LCM(4701,4709) = 31×171×2771×15671
LCM(4701,4709) = 22137009
Factors of 4701
List of positive integer factors of 4701 that divides 4701 without a remainder.
1, 3, 1567, 4701
Factors of 4709
List of positive integer factors of 4709 that divides 4709 without a remainder.
1, 17, 277, 4709
Least Common Multiple of 4701 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 4701 and 4709, than apply into the LCM equation.
GCF(4701,4709) = 1
LCM(4701,4709) = ( 4701 × 4709) / 1
LCM(4701,4709) = 22137009 / 1
LCM(4701,4709) = 22137009
Properties of LCM 4701 and 4709
(i) The LCM of 4709 and 4701 is associative
LCM of 4701 and 4709 = LCM of 4709 and 4701
Related Least Common Multiples of 4701
Related Least Common Multiples of 4709
Frequently Asked Questions on LCM of 4701 and 4709
1. What is the LCM of 4701 and 4709?
Answer: LCM of 4701 and 4709 is 22137009.
2. What are the Factors of 4701?
Answer: Factors of 4701 are 1, 3, 1567, 4701. There are 4 integers that are factors of 4701. The greatest factor of 4701 is 4701.
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 4701 and 4709?
Answer:
Least Common Multiple of 4701 and 4709 = 22137009
Step 1: Find the prime factorization of 4701
4701 = 3 x 1567
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 = 22137009 = 3 x 17 x 277 x 1567
Step 4: Therefore, the least common multiple of 4701 and 4709 is 22137009.