Least Common Multiple of 629 and 635
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 635 the smallest integer that is 399415 that is divisible by both numbers.
Least Common Multiple (LCM) of 629 and 635 is 399415.
LCM(629,635) = 399415
LCM of 629 and 635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 629 and 635 by Prime method
- Least Common Multiple of 629 and 635 with GCF Formula
LCM of 629 and 635 is 399415
Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 635. First we will calculate the prime factors of 629 and 635.
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 635
| 5 | 635 |
| 127 | 127 |
| 1 |
Prime factors of 635 are 5,127. Prime factorization of 635 in exponential form is:
635 = 51×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 629 and 635.
LCM(629,635) = 51×171×371×1271
LCM(629,635) = 399415
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Least Common Multiple of 629 and 635 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 635, than apply into the LCM equation.
GCF(629,635) = 1
LCM(629,635) = ( 629 × 635) / 1
LCM(629,635) = 399415 / 1
LCM(629,635) = 399415
Properties of LCM 629 and 635
(i) The LCM of 635 and 629 is associative
LCM of 629 and 635 = LCM of 635 and 629
Related Least Common Multiples of 629
Related Least Common Multiples of 635
Frequently Asked Questions on LCM of 629 and 635
1. What is the LCM of 629 and 635?
Answer: LCM of 629 and 635 is 399415.
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 635?
Answer: Factors of 635 are 1, 5, 127, 635. There are 4 integers that are factors of 635. The greatest factor of 635 is 635.
4. How to Find the LCM of 629 and 635?
Answer:
Least Common Multiple of 629 and 635 = 399415
Step 1: Find the prime factorization of 629
629 = 17 x 37
Step 2: Find the prime factorization of 635
635 = 5 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 399415 = 5 x 17 x 37 x 127
Step 4: Therefore, the least common multiple of 629 and 635 is 399415.
