Least Common Multiple of 3641 and 3649
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3641 and 3649 the smallest integer that is 13286009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3641 and 3649 is 13286009.
LCM(3641,3649) = 13286009
LCM of 3641 and 3649
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3641 and 3649 by Prime method
- Least Common Multiple of 3641 and 3649 with GCF Formula
LCM of 3641 and 3649 is 13286009
Least common multiple can be found by multiplying the highest exponent prime factors of 3641 and 3649. First we will calculate the prime factors of 3641 and 3649.
Prime Factorization of 3641
| 11 | 3641 |
| 331 | 331 |
| 1 |
Prime factors of 3641 are 11,331. Prime factorization of 3641 in exponential form is:
3641 = 111×3311
Prime Factorization of 3649
| 41 | 3649 |
| 89 | 89 |
| 1 |
Prime factors of 3649 are 41,89. Prime factorization of 3649 in exponential form is:
3649 = 411×891
Now multiplying the highest exponent prime factors to calculate the LCM of 3641 and 3649.
LCM(3641,3649) = 111×411×891×3311
LCM(3641,3649) = 13286009
Factors of 3641
List of positive integer factors of 3641 that divides 3641 without a remainder.
1, 11, 331, 3641
Factors of 3649
List of positive integer factors of 3649 that divides 3649 without a remainder.
1, 41, 89, 3649
Least Common Multiple of 3641 and 3649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3641 and 3649, than apply into the LCM equation.
GCF(3641,3649) = 1
LCM(3641,3649) = ( 3641 × 3649) / 1
LCM(3641,3649) = 13286009 / 1
LCM(3641,3649) = 13286009
Properties of LCM 3641 and 3649
(i) The LCM of 3649 and 3641 is associative
LCM of 3641 and 3649 = LCM of 3649 and 3641
Related Least Common Multiples of 3641
Related Least Common Multiples of 3649
Frequently Asked Questions on LCM of 3641 and 3649
1. What is the LCM of 3641 and 3649?
Answer: LCM of 3641 and 3649 is 13286009.
2. What are the Factors of 3641?
Answer: Factors of 3641 are 1, 11, 331, 3641. There are 4 integers that are factors of 3641. The greatest factor of 3641 is 3641.
3. What are the Factors of 3649?
Answer: Factors of 3649 are 1, 41, 89, 3649. There are 4 integers that are factors of 3649. The greatest factor of 3649 is 3649.
4. How to Find the LCM of 3641 and 3649?
Answer:
Least Common Multiple of 3641 and 3649 = 13286009
Step 1: Find the prime factorization of 3641
3641 = 11 x 331
Step 2: Find the prime factorization of 3649
3649 = 41 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13286009 = 11 x 41 x 89 x 331
Step 4: Therefore, the least common multiple of 3641 and 3649 is 13286009.