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 631 the smallest integer that is 396899 that is divisible by both numbers.
Least Common Multiple (LCM) of 629 and 631 is 396899.
LCM(629,631) = 396899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 631. First we will calculate the prime factors of 629 and 631.
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 631
631 | 631 |
1 |
Prime factors of 631 are 631. Prime factorization of 631 in exponential form is:
631 = 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 629 and 631.
LCM(629,631) = 171×371×6311
LCM(629,631) = 396899
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1, 631
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 629 and 631, than apply into the LCM equation.
GCF(629,631) = 1
LCM(629,631) = ( 629 × 631) / 1
LCM(629,631) = 396899 / 1
LCM(629,631) = 396899
(i) The LCM of 631 and 629 is associative
LCM of 629 and 631 = LCM of 631 and 629
1. What is the LCM of 629 and 631?
Answer: LCM of 629 and 631 is 396899.
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 631?
Answer: Factors of 631 are 1, 631. There are 2 integers that are factors of 631. The greatest factor of 631 is 631.
4. How to Find the LCM of 629 and 631?
Answer:
Least Common Multiple of 629 and 631 = 396899
Step 1: Find the prime factorization of 629
629 = 17 x 37
Step 2: Find the prime factorization of 631
631 = 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 396899 = 17 x 37 x 631
Step 4: Therefore, the least common multiple of 629 and 631 is 396899.