Least Common Multiple of 2703 and 2711
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2703 and 2711 the smallest integer that is 7327833 that is divisible by both numbers.
Least Common Multiple (LCM) of 2703 and 2711 is 7327833.
LCM(2703,2711) = 7327833
LCM of 2703 and 2711
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2703 and 2711 by Prime method
- Least Common Multiple of 2703 and 2711 with GCF Formula
LCM of 2703 and 2711 is 7327833
Least common multiple can be found by multiplying the highest exponent prime factors of 2703 and 2711. First we will calculate the prime factors of 2703 and 2711.
Prime Factorization of 2703
| 3 | 2703 |
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 2703 are 3, 17,53. Prime factorization of 2703 in exponential form is:
2703 = 31×171×531
Prime Factorization of 2711
| 2711 | 2711 |
| 1 |
Prime factors of 2711 are 2711. Prime factorization of 2711 in exponential form is:
2711 = 27111
Now multiplying the highest exponent prime factors to calculate the LCM of 2703 and 2711.
LCM(2703,2711) = 31×171×531×27111
LCM(2703,2711) = 7327833
Factors of 2703
List of positive integer factors of 2703 that divides 2703 without a remainder.
1, 3, 17, 51, 53, 159, 901, 2703
Factors of 2711
List of positive integer factors of 2711 that divides 2711 without a remainder.
1, 2711
Least Common Multiple of 2703 and 2711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2703 and 2711, than apply into the LCM equation.
GCF(2703,2711) = 1
LCM(2703,2711) = ( 2703 × 2711) / 1
LCM(2703,2711) = 7327833 / 1
LCM(2703,2711) = 7327833
Properties of LCM 2703 and 2711
(i) The LCM of 2711 and 2703 is associative
LCM of 2703 and 2711 = LCM of 2711 and 2703
Related Least Common Multiples of 2703
Related Least Common Multiples of 2711
Frequently Asked Questions on LCM of 2703 and 2711
1. What is the LCM of 2703 and 2711?
Answer: LCM of 2703 and 2711 is 7327833.
2. What are the Factors of 2703?
Answer: Factors of 2703 are 1, 3, 17, 51, 53, 159, 901, 2703. There are 8 integers that are factors of 2703. The greatest factor of 2703 is 2703.
3. What are the Factors of 2711?
Answer: Factors of 2711 are 1, 2711. There are 2 integers that are factors of 2711. The greatest factor of 2711 is 2711.
4. How to Find the LCM of 2703 and 2711?
Answer:
Least Common Multiple of 2703 and 2711 = 7327833
Step 1: Find the prime factorization of 2703
2703 = 3 x 17 x 53
Step 2: Find the prime factorization of 2711
2711 = 2711
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7327833 = 3 x 17 x 53 x 2711
Step 4: Therefore, the least common multiple of 2703 and 2711 is 7327833.