Least Common Multiple of 6635 and 6643
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6635 and 6643 the smallest integer that is 44076305 that is divisible by both numbers.
Least Common Multiple (LCM) of 6635 and 6643 is 44076305.
LCM(6635,6643) = 44076305
LCM of 6635 and 6643
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6635 and 6643 by Prime method
- Least Common Multiple of 6635 and 6643 with GCF Formula
LCM of 6635 and 6643 is 44076305
Least common multiple can be found by multiplying the highest exponent prime factors of 6635 and 6643. First we will calculate the prime factors of 6635 and 6643.
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
Prime Factorization of 6643
| 7 | 6643 |
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 6643 are 7, 13,73. Prime factorization of 6643 in exponential form is:
6643 = 71×131×731
Now multiplying the highest exponent prime factors to calculate the LCM of 6635 and 6643.
LCM(6635,6643) = 51×71×131×731×13271
LCM(6635,6643) = 44076305
Factors of 6635
List of positive integer factors of 6635 that divides 6635 without a remainder.
1, 5, 1327, 6635
Factors of 6643
List of positive integer factors of 6643 that divides 6643 without a remainder.
1, 7, 13, 73, 91, 511, 949, 6643
Least Common Multiple of 6635 and 6643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6635 and 6643, than apply into the LCM equation.
GCF(6635,6643) = 1
LCM(6635,6643) = ( 6635 × 6643) / 1
LCM(6635,6643) = 44076305 / 1
LCM(6635,6643) = 44076305
Properties of LCM 6635 and 6643
(i) The LCM of 6643 and 6635 is associative
LCM of 6635 and 6643 = LCM of 6643 and 6635
Related Least Common Multiples of 6635
Related Least Common Multiples of 6643
Frequently Asked Questions on LCM of 6635 and 6643
1. What is the LCM of 6635 and 6643?
Answer: LCM of 6635 and 6643 is 44076305.
2. 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.
3. What are the Factors of 6643?
Answer: Factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643. There are 8 integers that are factors of 6643. The greatest factor of 6643 is 6643.
4. How to Find the LCM of 6635 and 6643?
Answer:
Least Common Multiple of 6635 and 6643 = 44076305
Step 1: Find the prime factorization of 6635
6635 = 5 x 1327
Step 2: Find the prime factorization of 6643
6643 = 7 x 13 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44076305 = 5 x 7 x 13 x 73 x 1327
Step 4: Therefore, the least common multiple of 6635 and 6643 is 44076305.