Least Common Multiple of 2625 and 2629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2625 and 2629 the smallest integer that is 6901125 that is divisible by both numbers.
Least Common Multiple (LCM) of 2625 and 2629 is 6901125.
LCM(2625,2629) = 6901125
LCM of 2625 and 2629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2625 and 2629 by Prime method
- Least Common Multiple of 2625 and 2629 with GCF Formula
LCM of 2625 and 2629 is 6901125
Least common multiple can be found by multiplying the highest exponent prime factors of 2625 and 2629. First we will calculate the prime factors of 2625 and 2629.
Prime Factorization of 2625
| 3 | 2625 |
| 5 | 875 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 2625 are 3, 5,7. Prime factorization of 2625 in exponential form is:
2625 = 31×53×71
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2625 and 2629.
LCM(2625,2629) = 31×53×71×111×2391
LCM(2625,2629) = 6901125
Factors of 2625
List of positive integer factors of 2625 that divides 2625 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625
Factors of 2629
List of positive integer factors of 2629 that divides 2629 without a remainder.
1, 11, 239, 2629
Least Common Multiple of 2625 and 2629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2625 and 2629, than apply into the LCM equation.
GCF(2625,2629) = 1
LCM(2625,2629) = ( 2625 × 2629) / 1
LCM(2625,2629) = 6901125 / 1
LCM(2625,2629) = 6901125
Properties of LCM 2625 and 2629
(i) The LCM of 2629 and 2625 is associative
LCM of 2625 and 2629 = LCM of 2629 and 2625
Related Least Common Multiples of 2625
Related Least Common Multiples of 2629
Frequently Asked Questions on LCM of 2625 and 2629
1. What is the LCM of 2625 and 2629?
Answer: LCM of 2625 and 2629 is 6901125.
2. What are the Factors of 2625?
Answer: Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625. There are 16 integers that are factors of 2625. The greatest factor of 2625 is 2625.
3. 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.
4. How to Find the LCM of 2625 and 2629?
Answer:
Least Common Multiple of 2625 and 2629 = 6901125
Step 1: Find the prime factorization of 2625
2625 = 3 x 5 x 5 x 5 x 7
Step 2: Find the prime factorization of 2629
2629 = 11 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6901125 = 3 x 5 x 5 x 5 x 7 x 11 x 239
Step 4: Therefore, the least common multiple of 2625 and 2629 is 6901125.