Least Common Multiple of 629 and 633
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 633 the smallest integer that is 398157 that is divisible by both numbers.
Least Common Multiple (LCM) of 629 and 633 is 398157.
LCM(629,633) = 398157
LCM of 629 and 633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 629 and 633 by Prime method
- Least Common Multiple of 629 and 633 with GCF Formula
LCM of 629 and 633 is 398157
Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 633. First we will calculate the prime factors of 629 and 633.
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 633
| 3 | 633 |
| 211 | 211 |
| 1 |
Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:
633 = 31×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 629 and 633.
LCM(629,633) = 31×171×371×2111
LCM(629,633) = 398157
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Least Common Multiple of 629 and 633 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 633, than apply into the LCM equation.
GCF(629,633) = 1
LCM(629,633) = ( 629 × 633) / 1
LCM(629,633) = 398157 / 1
LCM(629,633) = 398157
Properties of LCM 629 and 633
(i) The LCM of 633 and 629 is associative
LCM of 629 and 633 = LCM of 633 and 629
Related Least Common Multiples of 629
Related Least Common Multiples of 633
Frequently Asked Questions on LCM of 629 and 633
1. What is the LCM of 629 and 633?
Answer: LCM of 629 and 633 is 398157.
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 633?
Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.
4. How to Find the LCM of 629 and 633?
Answer:
Least Common Multiple of 629 and 633 = 398157
Step 1: Find the prime factorization of 629
629 = 17 x 37
Step 2: Find the prime factorization of 633
633 = 3 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 398157 = 3 x 17 x 37 x 211
Step 4: Therefore, the least common multiple of 629 and 633 is 398157.
