Least Common Multiple of 2702 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 2702 and 2709 the smallest integer that is 1045674 that is divisible by both numbers.
Least Common Multiple (LCM) of 2702 and 2709 is 1045674.
LCM(2702,2709) = 1045674
LCM of 2702 and 2709
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2702 and 2709 by Prime method
- Least Common Multiple of 2702 and 2709 with GCF Formula
LCM of 2702 and 2709 is 1045674
Least common multiple can be found by multiplying the highest exponent prime factors of 2702 and 2709. First we will calculate the prime factors of 2702 and 2709.
Prime Factorization of 2702
| 2 | 2702 |
| 7 | 1351 |
| 193 | 193 |
| 1 |
Prime factors of 2702 are 2, 7,193. Prime factorization of 2702 in exponential form is:
2702 = 21×71×1931
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 2702 and 2709.
LCM(2702,2709) = 21×32×71×431×1931
LCM(2702,2709) = 1045674
Factors of 2702
List of positive integer factors of 2702 that divides 2702 without a remainder.
1, 2, 7, 14, 193, 386, 1351, 2702
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 2702 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 2702 and 2709, than apply into the LCM equation.
GCF(2702,2709) = 7
LCM(2702,2709) = ( 2702 × 2709) / 7
LCM(2702,2709) = 7319718 / 7
LCM(2702,2709) = 1045674
Properties of LCM 2702 and 2709
(i) The LCM of 2709 and 2702 is associative
LCM of 2702 and 2709 = LCM of 2709 and 2702
Related Least Common Multiples of 2702
Related Least Common Multiples of 2709
Frequently Asked Questions on LCM of 2702 and 2709
1. What is the LCM of 2702 and 2709?
Answer: LCM of 2702 and 2709 is 1045674.
2. What are the Factors of 2702?
Answer: Factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702. There are 8 integers that are factors of 2702. The greatest factor of 2702 is 2702.
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 2702 and 2709?
Answer:
Least Common Multiple of 2702 and 2709 = 1045674
Step 1: Find the prime factorization of 2702
2702 = 2 x 7 x 193
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 = 1045674 = 2 x 3 x 3 x 7 x 43 x 193
Step 4: Therefore, the least common multiple of 2702 and 2709 is 1045674.