Least Common Multiple of 6631 and 6635
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6631 and 6635 the smallest integer that is 43996685 that is divisible by both numbers.
Least Common Multiple (LCM) of 6631 and 6635 is 43996685.
LCM(6631,6635) = 43996685
LCM of 6631 and 6635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6631 and 6635 by Prime method
- Least Common Multiple of 6631 and 6635 with GCF Formula
LCM of 6631 and 6635 is 43996685
Least common multiple can be found by multiplying the highest exponent prime factors of 6631 and 6635. First we will calculate the prime factors of 6631 and 6635.
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
Prime Factorization of 6635
| 5 | 6635 |
| 1327 | 1327 |
| 1 |
Prime factors of 6635 are 5,1327. Prime factorization of 6635 in exponential form is:
6635 = 51×13271
Now multiplying the highest exponent prime factors to calculate the LCM of 6631 and 6635.
LCM(6631,6635) = 51×191×3491×13271
LCM(6631,6635) = 43996685
Factors of 6631
List of positive integer factors of 6631 that divides 6631 without a remainder.
1, 19, 349, 6631
Factors of 6635
List of positive integer factors of 6635 that divides 6635 without a remainder.
1, 5, 1327, 6635
Least Common Multiple of 6631 and 6635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6631 and 6635, than apply into the LCM equation.
GCF(6631,6635) = 1
LCM(6631,6635) = ( 6631 × 6635) / 1
LCM(6631,6635) = 43996685 / 1
LCM(6631,6635) = 43996685
Properties of LCM 6631 and 6635
(i) The LCM of 6635 and 6631 is associative
LCM of 6631 and 6635 = LCM of 6635 and 6631
Related Least Common Multiples of 6631
Related Least Common Multiples of 6635
Frequently Asked Questions on LCM of 6631 and 6635
1. What is the LCM of 6631 and 6635?
Answer: LCM of 6631 and 6635 is 43996685.
2. 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.
3. What are the Factors of 6635?
Answer: Factors of 6635 are 1, 5, 1327, 6635. There are 4 integers that are factors of 6635. The greatest factor of 6635 is 6635.
4. How to Find the LCM of 6631 and 6635?
Answer:
Least Common Multiple of 6631 and 6635 = 43996685
Step 1: Find the prime factorization of 6631
6631 = 19 x 349
Step 2: Find the prime factorization of 6635
6635 = 5 x 1327
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43996685 = 5 x 19 x 349 x 1327
Step 4: Therefore, the least common multiple of 6631 and 6635 is 43996685.