Least Common Multiple of 3653 and 3658
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3653 and 3658 the smallest integer that is 13362674 that is divisible by both numbers.
Least Common Multiple (LCM) of 3653 and 3658 is 13362674.
LCM(3653,3658) = 13362674
LCM of 3653 and 3658
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3653 and 3658 by Prime method
- Least Common Multiple of 3653 and 3658 with GCF Formula
LCM of 3653 and 3658 is 13362674
Least common multiple can be found by multiplying the highest exponent prime factors of 3653 and 3658. First we will calculate the prime factors of 3653 and 3658.
Prime Factorization of 3653
| 13 | 3653 |
| 281 | 281 |
| 1 |
Prime factors of 3653 are 13,281. Prime factorization of 3653 in exponential form is:
3653 = 131×2811
Prime Factorization of 3658
| 2 | 3658 |
| 31 | 1829 |
| 59 | 59 |
| 1 |
Prime factors of 3658 are 2, 31,59. Prime factorization of 3658 in exponential form is:
3658 = 21×311×591
Now multiplying the highest exponent prime factors to calculate the LCM of 3653 and 3658.
LCM(3653,3658) = 21×131×311×591×2811
LCM(3653,3658) = 13362674
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1, 13, 281, 3653
Factors of 3658
List of positive integer factors of 3658 that divides 3658 without a remainder.
1, 2, 31, 59, 62, 118, 1829, 3658
Least Common Multiple of 3653 and 3658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3653 and 3658, than apply into the LCM equation.
GCF(3653,3658) = 1
LCM(3653,3658) = ( 3653 × 3658) / 1
LCM(3653,3658) = 13362674 / 1
LCM(3653,3658) = 13362674
Properties of LCM 3653 and 3658
(i) The LCM of 3658 and 3653 is associative
LCM of 3653 and 3658 = LCM of 3658 and 3653
Related Least Common Multiples of 3653
Related Least Common Multiples of 3658
Frequently Asked Questions on LCM of 3653 and 3658
1. What is the LCM of 3653 and 3658?
Answer: LCM of 3653 and 3658 is 13362674.
2. What are the Factors of 3653?
Answer: Factors of 3653 are 1, 13, 281, 3653. There are 4 integers that are factors of 3653. The greatest factor of 3653 is 3653.
3. What are the Factors of 3658?
Answer: Factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658. There are 8 integers that are factors of 3658. The greatest factor of 3658 is 3658.
4. How to Find the LCM of 3653 and 3658?
Answer:
Least Common Multiple of 3653 and 3658 = 13362674
Step 1: Find the prime factorization of 3653
3653 = 13 x 281
Step 2: Find the prime factorization of 3658
3658 = 2 x 31 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13362674 = 2 x 13 x 31 x 59 x 281
Step 4: Therefore, the least common multiple of 3653 and 3658 is 13362674.