Least Common Multiple of 4709 and 4715
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 4715 the smallest integer that is 22202935 that is divisible by both numbers.
Least Common Multiple (LCM) of 4709 and 4715 is 22202935.
LCM(4709,4715) = 22202935
LCM of 4709 and 4715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4709 and 4715 by Prime method
- Least Common Multiple of 4709 and 4715 with GCF Formula
LCM of 4709 and 4715 is 22202935
Least common multiple can be found by multiplying the highest exponent prime factors of 4709 and 4715. First we will calculate the prime factors of 4709 and 4715.
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 4715
| 5 | 4715 |
| 23 | 943 |
| 41 | 41 |
| 1 |
Prime factors of 4715 are 5, 23,41. Prime factorization of 4715 in exponential form is:
4715 = 51×231×411
Now multiplying the highest exponent prime factors to calculate the LCM of 4709 and 4715.
LCM(4709,4715) = 51×171×231×411×2771
LCM(4709,4715) = 22202935
Factors of 4709
List of positive integer factors of 4709 that divides 4709 without a remainder.
1, 17, 277, 4709
Factors of 4715
List of positive integer factors of 4715 that divides 4715 without a remainder.
1, 5, 23, 41, 115, 205, 943, 4715
Least Common Multiple of 4709 and 4715 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 4715, than apply into the LCM equation.
GCF(4709,4715) = 1
LCM(4709,4715) = ( 4709 × 4715) / 1
LCM(4709,4715) = 22202935 / 1
LCM(4709,4715) = 22202935
Properties of LCM 4709 and 4715
(i) The LCM of 4715 and 4709 is associative
LCM of 4709 and 4715 = LCM of 4715 and 4709
Related Least Common Multiples of 4709
Related Least Common Multiples of 4715
Frequently Asked Questions on LCM of 4709 and 4715
1. What is the LCM of 4709 and 4715?
Answer: LCM of 4709 and 4715 is 22202935.
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 4715?
Answer: Factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715. There are 8 integers that are factors of 4715. The greatest factor of 4715 is 4715.
4. How to Find the LCM of 4709 and 4715?
Answer:
Least Common Multiple of 4709 and 4715 = 22202935
Step 1: Find the prime factorization of 4709
4709 = 17 x 277
Step 2: Find the prime factorization of 4715
4715 = 5 x 23 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22202935 = 5 x 17 x 23 x 41 x 277
Step 4: Therefore, the least common multiple of 4709 and 4715 is 22202935.