Least Common Multiple of 629 and 634
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 629 and 634 the smallest integer that is 398786 that is divisible by both numbers.
Least Common Multiple (LCM) of 629 and 634 is 398786.
LCM(629,634) = 398786
LCM of 629 and 634
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 629 and 634 by Prime method
- Least Common Multiple of 629 and 634 with GCF Formula
LCM of 629 and 634 is 398786
Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 634. First we will calculate the prime factors of 629 and 634.
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
Prime Factorization of 634
| 2 | 634 |
| 317 | 317 |
| 1 |
Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:
634 = 21×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 629 and 634.
LCM(629,634) = 21×171×371×3171
LCM(629,634) = 398786
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Least Common Multiple of 629 and 634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 629 and 634, than apply into the LCM equation.
GCF(629,634) = 1
LCM(629,634) = ( 629 × 634) / 1
LCM(629,634) = 398786 / 1
LCM(629,634) = 398786
Properties of LCM 629 and 634
(i) The LCM of 634 and 629 is associative
LCM of 629 and 634 = LCM of 634 and 629
Related Least Common Multiples of 629
Related Least Common Multiples of 634
Frequently Asked Questions on LCM of 629 and 634
1. What is the LCM of 629 and 634?
Answer: LCM of 629 and 634 is 398786.
2. 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.
3. What are the Factors of 634?
Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.
4. How to Find the LCM of 629 and 634?
Answer:
Least Common Multiple of 629 and 634 = 398786
Step 1: Find the prime factorization of 629
629 = 17 x 37
Step 2: Find the prime factorization of 634
634 = 2 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 398786 = 2 x 17 x 37 x 317
Step 4: Therefore, the least common multiple of 629 and 634 is 398786.
