Least Common Multiple of 2627 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 2627 and 2635 the smallest integer that is 6922145 that is divisible by both numbers.
Least Common Multiple (LCM) of 2627 and 2635 is 6922145.
LCM(2627,2635) = 6922145
LCM of 2627 and 2635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2627 and 2635 by Prime method
- Least Common Multiple of 2627 and 2635 with GCF Formula
LCM of 2627 and 2635 is 6922145
Least common multiple can be found by multiplying the highest exponent prime factors of 2627 and 2635. First we will calculate the prime factors of 2627 and 2635.
Prime Factorization of 2627
| 37 | 2627 |
| 71 | 71 |
| 1 |
Prime factors of 2627 are 37,71. Prime factorization of 2627 in exponential form is:
2627 = 371×711
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 2627 and 2635.
LCM(2627,2635) = 51×171×311×371×711
LCM(2627,2635) = 6922145
Factors of 2627
List of positive integer factors of 2627 that divides 2627 without a remainder.
1, 37, 71, 2627
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 2627 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 2627 and 2635, than apply into the LCM equation.
GCF(2627,2635) = 1
LCM(2627,2635) = ( 2627 × 2635) / 1
LCM(2627,2635) = 6922145 / 1
LCM(2627,2635) = 6922145
Properties of LCM 2627 and 2635
(i) The LCM of 2635 and 2627 is associative
LCM of 2627 and 2635 = LCM of 2635 and 2627
Related Least Common Multiples of 2627
Related Least Common Multiples of 2635
Frequently Asked Questions on LCM of 2627 and 2635
1. What is the LCM of 2627 and 2635?
Answer: LCM of 2627 and 2635 is 6922145.
2. What are the Factors of 2627?
Answer: Factors of 2627 are 1, 37, 71, 2627. There are 4 integers that are factors of 2627. The greatest factor of 2627 is 2627.
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 2627 and 2635?
Answer:
Least Common Multiple of 2627 and 2635 = 6922145
Step 1: Find the prime factorization of 2627
2627 = 37 x 71
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 = 6922145 = 5 x 17 x 31 x 37 x 71
Step 4: Therefore, the least common multiple of 2627 and 2635 is 6922145.