Least Common Multiple of 622 and 629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 622 and 629 the smallest integer that is 391238 that is divisible by both numbers.
Least Common Multiple (LCM) of 622 and 629 is 391238.
LCM(622,629) = 391238
LCM of 622 and 629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 622 and 629 by Prime method
- Least Common Multiple of 622 and 629 with GCF Formula
LCM of 622 and 629 is 391238
Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 629. First we will calculate the prime factors of 622 and 629.
Prime Factorization of 622
| 2 | 622 |
| 311 | 311 |
| 1 |
Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:
622 = 21×3111
Prime Factorization of 629
| 17 | 629 |
| 37 | 37 |
| 1 |
Prime factors of 629 are 17,37. Prime factorization of 629 in exponential form is:
629 = 171×371
Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 629.
LCM(622,629) = 21×171×371×3111
LCM(622,629) = 391238
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Least Common Multiple of 622 and 629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 622 and 629, than apply into the LCM equation.
GCF(622,629) = 1
LCM(622,629) = ( 622 × 629) / 1
LCM(622,629) = 391238 / 1
LCM(622,629) = 391238
Properties of LCM 622 and 629
(i) The LCM of 629 and 622 is associative
LCM of 622 and 629 = LCM of 629 and 622
Related Least Common Multiples of 622
Related Least Common Multiples of 629
Frequently Asked Questions on LCM of 622 and 629
1. What is the LCM of 622 and 629?
Answer: LCM of 622 and 629 is 391238.
2. What are the Factors of 622?
Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.
3. What are the Factors of 629?
Answer: Factors of 629 are 1, 17, 37, 629. There are 4 integers that are factors of 629. The greatest factor of 629 is 629.
4. How to Find the LCM of 622 and 629?
Answer:
Least Common Multiple of 622 and 629 = 391238
Step 1: Find the prime factorization of 622
622 = 2 x 311
Step 2: Find the prime factorization of 629
629 = 17 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 391238 = 2 x 17 x 37 x 311
Step 4: Therefore, the least common multiple of 622 and 629 is 391238.
