Least Common Multiple of 627 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 627 and 629 the smallest integer that is 394383 that is divisible by both numbers.
Least Common Multiple (LCM) of 627 and 629 is 394383.
LCM(627,629) = 394383
LCM of 627 and 629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 627 and 629 by Prime method
- Least Common Multiple of 627 and 629 with GCF Formula
LCM of 627 and 629 is 394383
Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 629. First we will calculate the prime factors of 627 and 629.
Prime Factorization of 627
| 3 | 627 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 627 are 3, 11,19. Prime factorization of 627 in exponential form is:
627 = 31×111×191
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 627 and 629.
LCM(627,629) = 31×111×171×191×371
LCM(627,629) = 394383
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Least Common Multiple of 627 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 627 and 629, than apply into the LCM equation.
GCF(627,629) = 1
LCM(627,629) = ( 627 × 629) / 1
LCM(627,629) = 394383 / 1
LCM(627,629) = 394383
Properties of LCM 627 and 629
(i) The LCM of 629 and 627 is associative
LCM of 627 and 629 = LCM of 629 and 627
Related Least Common Multiples of 627
Related Least Common Multiples of 629
Frequently Asked Questions on LCM of 627 and 629
1. What is the LCM of 627 and 629?
Answer: LCM of 627 and 629 is 394383.
2. What are the Factors of 627?
Answer: Factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627. There are 8 integers that are factors of 627. The greatest factor of 627 is 627.
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 627 and 629?
Answer:
Least Common Multiple of 627 and 629 = 394383
Step 1: Find the prime factorization of 627
627 = 3 x 11 x 19
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 = 394383 = 3 x 11 x 17 x 19 x 37
Step 4: Therefore, the least common multiple of 627 and 629 is 394383.
