Least Common Multiple of 627 and 631
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 631 the smallest integer that is 395637 that is divisible by both numbers.
Least Common Multiple (LCM) of 627 and 631 is 395637.
LCM(627,631) = 395637
LCM of 627 and 631
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 627 and 631 by Prime method
- Least Common Multiple of 627 and 631 with GCF Formula
LCM of 627 and 631 is 395637
Least common multiple can be found by multiplying the highest exponent prime factors of 627 and 631. First we will calculate the prime factors of 627 and 631.
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 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 627 and 631.
LCM(627,631) = 31×111×191×6311
LCM(627,631) = 395637
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 631
List of positive integer factors of 631 that divides 631 without a remainder.
1, 631
Least Common Multiple of 627 and 631 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 631, than apply into the LCM equation.
GCF(627,631) = 1
LCM(627,631) = ( 627 × 631) / 1
LCM(627,631) = 395637 / 1
LCM(627,631) = 395637
Properties of LCM 627 and 631
(i) The LCM of 631 and 627 is associative
LCM of 627 and 631 = LCM of 631 and 627
Related Least Common Multiples of 627
Related Least Common Multiples of 631
Frequently Asked Questions on LCM of 627 and 631
1. What is the LCM of 627 and 631?
Answer: LCM of 627 and 631 is 395637.
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 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 627 and 631?
Answer:
Least Common Multiple of 627 and 631 = 395637
Step 1: Find the prime factorization of 627
627 = 3 x 11 x 19
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 = 395637 = 3 x 11 x 19 x 631
Step 4: Therefore, the least common multiple of 627 and 631 is 395637.
