Least Common Multiple of 2631 and 2639
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2631 and 2639 the smallest integer that is 6943209 that is divisible by both numbers.
Least Common Multiple (LCM) of 2631 and 2639 is 6943209.
LCM(2631,2639) = 6943209
LCM of 2631 and 2639
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2631 and 2639 by Prime method
- Least Common Multiple of 2631 and 2639 with GCF Formula
LCM of 2631 and 2639 is 6943209
Least common multiple can be found by multiplying the highest exponent prime factors of 2631 and 2639. First we will calculate the prime factors of 2631 and 2639.
Prime Factorization of 2631
| 3 | 2631 |
| 877 | 877 |
| 1 |
Prime factors of 2631 are 3,877. Prime factorization of 2631 in exponential form is:
2631 = 31×8771
Prime Factorization of 2639
| 7 | 2639 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 2639 are 7, 13,29. Prime factorization of 2639 in exponential form is:
2639 = 71×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2631 and 2639.
LCM(2631,2639) = 31×71×131×291×8771
LCM(2631,2639) = 6943209
Factors of 2631
List of positive integer factors of 2631 that divides 2631 without a remainder.
1, 3, 877, 2631
Factors of 2639
List of positive integer factors of 2639 that divides 2639 without a remainder.
1, 7, 13, 29, 91, 203, 377, 2639
Least Common Multiple of 2631 and 2639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2631 and 2639, than apply into the LCM equation.
GCF(2631,2639) = 1
LCM(2631,2639) = ( 2631 × 2639) / 1
LCM(2631,2639) = 6943209 / 1
LCM(2631,2639) = 6943209
Properties of LCM 2631 and 2639
(i) The LCM of 2639 and 2631 is associative
LCM of 2631 and 2639 = LCM of 2639 and 2631
Related Least Common Multiples of 2631
Related Least Common Multiples of 2639
Frequently Asked Questions on LCM of 2631 and 2639
1. What is the LCM of 2631 and 2639?
Answer: LCM of 2631 and 2639 is 6943209.
2. What are the Factors of 2631?
Answer: Factors of 2631 are 1, 3, 877, 2631. There are 4 integers that are factors of 2631. The greatest factor of 2631 is 2631.
3. What are the Factors of 2639?
Answer: Factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639. There are 8 integers that are factors of 2639. The greatest factor of 2639 is 2639.
4. How to Find the LCM of 2631 and 2639?
Answer:
Least Common Multiple of 2631 and 2639 = 6943209
Step 1: Find the prime factorization of 2631
2631 = 3 x 877
Step 2: Find the prime factorization of 2639
2639 = 7 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6943209 = 3 x 7 x 13 x 29 x 877
Step 4: Therefore, the least common multiple of 2631 and 2639 is 6943209.