Least Common Multiple of 2629 and 2635
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2629 and 2635 the smallest integer that is 6927415 that is divisible by both numbers.
Least Common Multiple (LCM) of 2629 and 2635 is 6927415.
LCM(2629,2635) = 6927415
LCM of 2629 and 2635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2629 and 2635 by Prime method
- Least Common Multiple of 2629 and 2635 with GCF Formula
LCM of 2629 and 2635 is 6927415
Least common multiple can be found by multiplying the highest exponent prime factors of 2629 and 2635. First we will calculate the prime factors of 2629 and 2635.
Prime Factorization of 2629
| 11 | 2629 |
| 239 | 239 |
| 1 |
Prime factors of 2629 are 11,239. Prime factorization of 2629 in exponential form is:
2629 = 111×2391
Prime Factorization of 2635
| 5 | 2635 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 2635 are 5, 17,31. Prime factorization of 2635 in exponential form is:
2635 = 51×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 2629 and 2635.
LCM(2629,2635) = 51×111×171×311×2391
LCM(2629,2635) = 6927415
Factors of 2629
List of positive integer factors of 2629 that divides 2629 without a remainder.
1, 11, 239, 2629
Factors of 2635
List of positive integer factors of 2635 that divides 2635 without a remainder.
1, 5, 17, 31, 85, 155, 527, 2635
Least Common Multiple of 2629 and 2635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2629 and 2635, than apply into the LCM equation.
GCF(2629,2635) = 1
LCM(2629,2635) = ( 2629 × 2635) / 1
LCM(2629,2635) = 6927415 / 1
LCM(2629,2635) = 6927415
Properties of LCM 2629 and 2635
(i) The LCM of 2635 and 2629 is associative
LCM of 2629 and 2635 = LCM of 2635 and 2629
Related Least Common Multiples of 2629
Related Least Common Multiples of 2635
Frequently Asked Questions on LCM of 2629 and 2635
1. What is the LCM of 2629 and 2635?
Answer: LCM of 2629 and 2635 is 6927415.
2. What are the Factors of 2629?
Answer: Factors of 2629 are 1, 11, 239, 2629. There are 4 integers that are factors of 2629. The greatest factor of 2629 is 2629.
3. What are the Factors of 2635?
Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.
4. How to Find the LCM of 2629 and 2635?
Answer:
Least Common Multiple of 2629 and 2635 = 6927415
Step 1: Find the prime factorization of 2629
2629 = 11 x 239
Step 2: Find the prime factorization of 2635
2635 = 5 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6927415 = 5 x 11 x 17 x 31 x 239
Step 4: Therefore, the least common multiple of 2629 and 2635 is 6927415.