Least Common Multiple of 6627 and 6631
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6627 and 6631 the smallest integer that is 43943637 that is divisible by both numbers.
Least Common Multiple (LCM) of 6627 and 6631 is 43943637.
LCM(6627,6631) = 43943637
LCM of 6627 and 6631
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6627 and 6631 by Prime method
- Least Common Multiple of 6627 and 6631 with GCF Formula
LCM of 6627 and 6631 is 43943637
Least common multiple can be found by multiplying the highest exponent prime factors of 6627 and 6631. First we will calculate the prime factors of 6627 and 6631.
Prime Factorization of 6627
| 3 | 6627 |
| 47 | 2209 |
| 47 | 47 |
| 1 |
Prime factors of 6627 are 3,47. Prime factorization of 6627 in exponential form is:
6627 = 31×472
Prime Factorization of 6631
| 19 | 6631 |
| 349 | 349 |
| 1 |
Prime factors of 6631 are 19,349. Prime factorization of 6631 in exponential form is:
6631 = 191×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 6627 and 6631.
LCM(6627,6631) = 31×191×472×3491
LCM(6627,6631) = 43943637
Factors of 6627
List of positive integer factors of 6627 that divides 6627 without a remainder.
1, 3, 47, 141, 2209, 6627
Factors of 6631
List of positive integer factors of 6631 that divides 6631 without a remainder.
1, 19, 349, 6631
Least Common Multiple of 6627 and 6631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6627 and 6631, than apply into the LCM equation.
GCF(6627,6631) = 1
LCM(6627,6631) = ( 6627 × 6631) / 1
LCM(6627,6631) = 43943637 / 1
LCM(6627,6631) = 43943637
Properties of LCM 6627 and 6631
(i) The LCM of 6631 and 6627 is associative
LCM of 6627 and 6631 = LCM of 6631 and 6627
Related Least Common Multiples of 6627
Related Least Common Multiples of 6631
Frequently Asked Questions on LCM of 6627 and 6631
1. What is the LCM of 6627 and 6631?
Answer: LCM of 6627 and 6631 is 43943637.
2. What are the Factors of 6627?
Answer: Factors of 6627 are 1, 3, 47, 141, 2209, 6627. There are 6 integers that are factors of 6627. The greatest factor of 6627 is 6627.
3. What are the Factors of 6631?
Answer: Factors of 6631 are 1, 19, 349, 6631. There are 4 integers that are factors of 6631. The greatest factor of 6631 is 6631.
4. How to Find the LCM of 6627 and 6631?
Answer:
Least Common Multiple of 6627 and 6631 = 43943637
Step 1: Find the prime factorization of 6627
6627 = 3 x 47 x 47
Step 2: Find the prime factorization of 6631
6631 = 19 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43943637 = 3 x 19 x 47 x 47 x 349
Step 4: Therefore, the least common multiple of 6627 and 6631 is 43943637.