Least Common Multiple of 2701 and 2709
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2701 and 2709 the smallest integer that is 7317009 that is divisible by both numbers.
Least Common Multiple (LCM) of 2701 and 2709 is 7317009.
LCM(2701,2709) = 7317009
LCM of 2701 and 2709
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2701 and 2709 by Prime method
- Least Common Multiple of 2701 and 2709 with GCF Formula
LCM of 2701 and 2709 is 7317009
Least common multiple can be found by multiplying the highest exponent prime factors of 2701 and 2709. First we will calculate the prime factors of 2701 and 2709.
Prime Factorization of 2701
| 37 | 2701 |
| 73 | 73 |
| 1 |
Prime factors of 2701 are 37,73. Prime factorization of 2701 in exponential form is:
2701 = 371×731
Prime Factorization of 2709
| 3 | 2709 |
| 3 | 903 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 2709 are 3, 7,43. Prime factorization of 2709 in exponential form is:
2709 = 32×71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 2701 and 2709.
LCM(2701,2709) = 32×71×371×431×731
LCM(2701,2709) = 7317009
Factors of 2701
List of positive integer factors of 2701 that divides 2701 without a remainder.
1, 37, 73, 2701
Factors of 2709
List of positive integer factors of 2709 that divides 2709 without a remainder.
1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709
Least Common Multiple of 2701 and 2709 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2701 and 2709, than apply into the LCM equation.
GCF(2701,2709) = 1
LCM(2701,2709) = ( 2701 × 2709) / 1
LCM(2701,2709) = 7317009 / 1
LCM(2701,2709) = 7317009
Properties of LCM 2701 and 2709
(i) The LCM of 2709 and 2701 is associative
LCM of 2701 and 2709 = LCM of 2709 and 2701
Related Least Common Multiples of 2701
Related Least Common Multiples of 2709
Frequently Asked Questions on LCM of 2701 and 2709
1. What is the LCM of 2701 and 2709?
Answer: LCM of 2701 and 2709 is 7317009.
2. What are the Factors of 2701?
Answer: Factors of 2701 are 1, 37, 73, 2701. There are 4 integers that are factors of 2701. The greatest factor of 2701 is 2701.
3. What are the Factors of 2709?
Answer: Factors of 2709 are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709. There are 12 integers that are factors of 2709. The greatest factor of 2709 is 2709.
4. How to Find the LCM of 2701 and 2709?
Answer:
Least Common Multiple of 2701 and 2709 = 7317009
Step 1: Find the prime factorization of 2701
2701 = 37 x 73
Step 2: Find the prime factorization of 2709
2709 = 3 x 3 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7317009 = 3 x 3 x 7 x 37 x 43 x 73
Step 4: Therefore, the least common multiple of 2701 and 2709 is 7317009.