Least Common Multiple of 2703 and 2707
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 2707 the smallest integer that is 7317021 that is divisible by both numbers.
Least Common Multiple (LCM) of 2703 and 2707 is 7317021.
LCM(2703,2707) = 7317021
LCM of 2703 and 2707
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2703 and 2707 by Prime method
- Least Common Multiple of 2703 and 2707 with GCF Formula
LCM of 2703 and 2707 is 7317021
Least common multiple can be found by multiplying the highest exponent prime factors of 2703 and 2707. First we will calculate the prime factors of 2703 and 2707.
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 2707
| 2707 | 2707 |
| 1 |
Prime factors of 2707 are 2707. Prime factorization of 2707 in exponential form is:
2707 = 27071
Now multiplying the highest exponent prime factors to calculate the LCM of 2703 and 2707.
LCM(2703,2707) = 31×171×531×27071
LCM(2703,2707) = 7317021
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 2707
List of positive integer factors of 2707 that divides 2707 without a remainder.
1, 2707
Least Common Multiple of 2703 and 2707 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 2707, than apply into the LCM equation.
GCF(2703,2707) = 1
LCM(2703,2707) = ( 2703 × 2707) / 1
LCM(2703,2707) = 7317021 / 1
LCM(2703,2707) = 7317021
Properties of LCM 2703 and 2707
(i) The LCM of 2707 and 2703 is associative
LCM of 2703 and 2707 = LCM of 2707 and 2703
Related Least Common Multiples of 2703
Related Least Common Multiples of 2707
Frequently Asked Questions on LCM of 2703 and 2707
1. What is the LCM of 2703 and 2707?
Answer: LCM of 2703 and 2707 is 7317021.
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 2707?
Answer: Factors of 2707 are 1, 2707. There are 2 integers that are factors of 2707. The greatest factor of 2707 is 2707.
4. How to Find the LCM of 2703 and 2707?
Answer:
Least Common Multiple of 2703 and 2707 = 7317021
Step 1: Find the prime factorization of 2703
2703 = 3 x 17 x 53
Step 2: Find the prime factorization of 2707
2707 = 2707
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7317021 = 3 x 17 x 53 x 2707
Step 4: Therefore, the least common multiple of 2703 and 2707 is 7317021.