Least Common Multiple of 3658 and 3665
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3658 and 3665 the smallest integer that is 13406570 that is divisible by both numbers.
Least Common Multiple (LCM) of 3658 and 3665 is 13406570.
LCM(3658,3665) = 13406570
LCM of 3658 and 3665
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3658 and 3665 by Prime method
- Least Common Multiple of 3658 and 3665 with GCF Formula
LCM of 3658 and 3665 is 13406570
Least common multiple can be found by multiplying the highest exponent prime factors of 3658 and 3665. First we will calculate the prime factors of 3658 and 3665.
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
Prime Factorization of 3665
| 5 | 3665 |
| 733 | 733 |
| 1 |
Prime factors of 3665 are 5,733. Prime factorization of 3665 in exponential form is:
3665 = 51×7331
Now multiplying the highest exponent prime factors to calculate the LCM of 3658 and 3665.
LCM(3658,3665) = 21×51×311×591×7331
LCM(3658,3665) = 13406570
Factors of 3658
List of positive integer factors of 3658 that divides 3658 without a remainder.
1, 2, 31, 59, 62, 118, 1829, 3658
Factors of 3665
List of positive integer factors of 3665 that divides 3665 without a remainder.
1, 5, 733, 3665
Least Common Multiple of 3658 and 3665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3658 and 3665, than apply into the LCM equation.
GCF(3658,3665) = 1
LCM(3658,3665) = ( 3658 × 3665) / 1
LCM(3658,3665) = 13406570 / 1
LCM(3658,3665) = 13406570
Properties of LCM 3658 and 3665
(i) The LCM of 3665 and 3658 is associative
LCM of 3658 and 3665 = LCM of 3665 and 3658
Related Least Common Multiples of 3658
Related Least Common Multiples of 3665
Frequently Asked Questions on LCM of 3658 and 3665
1. What is the LCM of 3658 and 3665?
Answer: LCM of 3658 and 3665 is 13406570.
2. 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.
3. What are the Factors of 3665?
Answer: Factors of 3665 are 1, 5, 733, 3665. There are 4 integers that are factors of 3665. The greatest factor of 3665 is 3665.
4. How to Find the LCM of 3658 and 3665?
Answer:
Least Common Multiple of 3658 and 3665 = 13406570
Step 1: Find the prime factorization of 3658
3658 = 2 x 31 x 59
Step 2: Find the prime factorization of 3665
3665 = 5 x 733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13406570 = 2 x 5 x 31 x 59 x 733
Step 4: Therefore, the least common multiple of 3658 and 3665 is 13406570.