Least Common Multiple of 6622 and 6629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6622 and 6629 the smallest integer that is 6271034 that is divisible by both numbers.
Least Common Multiple (LCM) of 6622 and 6629 is 6271034.
LCM(6622,6629) = 6271034
LCM of 6622 and 6629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6622 and 6629 by Prime method
- Least Common Multiple of 6622 and 6629 with GCF Formula
LCM of 6622 and 6629 is 6271034
Least common multiple can be found by multiplying the highest exponent prime factors of 6622 and 6629. First we will calculate the prime factors of 6622 and 6629.
Prime Factorization of 6622
| 2 | 6622 |
| 7 | 3311 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 6622 are 2, 7, 11,43. Prime factorization of 6622 in exponential form is:
6622 = 21×71×111×431
Prime Factorization of 6629
| 7 | 6629 |
| 947 | 947 |
| 1 |
Prime factors of 6629 are 7,947. Prime factorization of 6629 in exponential form is:
6629 = 71×9471
Now multiplying the highest exponent prime factors to calculate the LCM of 6622 and 6629.
LCM(6622,6629) = 21×71×111×431×9471
LCM(6622,6629) = 6271034
Factors of 6622
List of positive integer factors of 6622 that divides 6622 without a remainder.
1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622
Factors of 6629
List of positive integer factors of 6629 that divides 6629 without a remainder.
1, 7, 947, 6629
Least Common Multiple of 6622 and 6629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6622 and 6629, than apply into the LCM equation.
GCF(6622,6629) = 7
LCM(6622,6629) = ( 6622 × 6629) / 7
LCM(6622,6629) = 43897238 / 7
LCM(6622,6629) = 6271034
Properties of LCM 6622 and 6629
(i) The LCM of 6629 and 6622 is associative
LCM of 6622 and 6629 = LCM of 6629 and 6622
Related Least Common Multiples of 6622
Related Least Common Multiples of 6629
Frequently Asked Questions on LCM of 6622 and 6629
1. What is the LCM of 6622 and 6629?
Answer: LCM of 6622 and 6629 is 6271034.
2. What are the Factors of 6622?
Answer: Factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622. There are 16 integers that are factors of 6622. The greatest factor of 6622 is 6622.
3. What are the Factors of 6629?
Answer: Factors of 6629 are 1, 7, 947, 6629. There are 4 integers that are factors of 6629. The greatest factor of 6629 is 6629.
4. How to Find the LCM of 6622 and 6629?
Answer:
Least Common Multiple of 6622 and 6629 = 6271034
Step 1: Find the prime factorization of 6622
6622 = 2 x 7 x 11 x 43
Step 2: Find the prime factorization of 6629
6629 = 7 x 947
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6271034 = 2 x 7 x 11 x 43 x 947
Step 4: Therefore, the least common multiple of 6622 and 6629 is 6271034.