Least Common Multiple of 6626 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 6626 and 6631 the smallest integer that is 43937006 that is divisible by both numbers.
Least Common Multiple (LCM) of 6626 and 6631 is 43937006.
LCM(6626,6631) = 43937006
LCM of 6626 and 6631
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6626 and 6631 by Prime method
- Least Common Multiple of 6626 and 6631 with GCF Formula
LCM of 6626 and 6631 is 43937006
Least common multiple can be found by multiplying the highest exponent prime factors of 6626 and 6631. First we will calculate the prime factors of 6626 and 6631.
Prime Factorization of 6626
| 2 | 6626 |
| 3313 | 3313 |
| 1 |
Prime factors of 6626 are 2,3313. Prime factorization of 6626 in exponential form is:
6626 = 21×33131
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 6626 and 6631.
LCM(6626,6631) = 21×191×3491×33131
LCM(6626,6631) = 43937006
Factors of 6626
List of positive integer factors of 6626 that divides 6626 without a remainder.
1, 2, 3313, 6626
Factors of 6631
List of positive integer factors of 6631 that divides 6631 without a remainder.
1, 19, 349, 6631
Least Common Multiple of 6626 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 6626 and 6631, than apply into the LCM equation.
GCF(6626,6631) = 1
LCM(6626,6631) = ( 6626 × 6631) / 1
LCM(6626,6631) = 43937006 / 1
LCM(6626,6631) = 43937006
Properties of LCM 6626 and 6631
(i) The LCM of 6631 and 6626 is associative
LCM of 6626 and 6631 = LCM of 6631 and 6626
Related Least Common Multiples of 6626
Related Least Common Multiples of 6631
Frequently Asked Questions on LCM of 6626 and 6631
1. What is the LCM of 6626 and 6631?
Answer: LCM of 6626 and 6631 is 43937006.
2. What are the Factors of 6626?
Answer: Factors of 6626 are 1, 2, 3313, 6626. There are 4 integers that are factors of 6626. The greatest factor of 6626 is 6626.
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 6626 and 6631?
Answer:
Least Common Multiple of 6626 and 6631 = 43937006
Step 1: Find the prime factorization of 6626
6626 = 2 x 3313
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 = 43937006 = 2 x 19 x 349 x 3313
Step 4: Therefore, the least common multiple of 6626 and 6631 is 43937006.