Least Common Multiple of 3653 and 3657
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 3657 the smallest integer that is 13359021 that is divisible by both numbers.
Least Common Multiple (LCM) of 3653 and 3657 is 13359021.
LCM(3653,3657) = 13359021
LCM of 3653 and 3657
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3653 and 3657 by Prime method
- Least Common Multiple of 3653 and 3657 with GCF Formula
LCM of 3653 and 3657 is 13359021
Least common multiple can be found by multiplying the highest exponent prime factors of 3653 and 3657. First we will calculate the prime factors of 3653 and 3657.
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 3657
| 3 | 3657 |
| 23 | 1219 |
| 53 | 53 |
| 1 |
Prime factors of 3657 are 3, 23,53. Prime factorization of 3657 in exponential form is:
3657 = 31×231×531
Now multiplying the highest exponent prime factors to calculate the LCM of 3653 and 3657.
LCM(3653,3657) = 31×131×231×531×2811
LCM(3653,3657) = 13359021
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1, 13, 281, 3653
Factors of 3657
List of positive integer factors of 3657 that divides 3657 without a remainder.
1, 3, 23, 53, 69, 159, 1219, 3657
Least Common Multiple of 3653 and 3657 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 3657, than apply into the LCM equation.
GCF(3653,3657) = 1
LCM(3653,3657) = ( 3653 × 3657) / 1
LCM(3653,3657) = 13359021 / 1
LCM(3653,3657) = 13359021
Properties of LCM 3653 and 3657
(i) The LCM of 3657 and 3653 is associative
LCM of 3653 and 3657 = LCM of 3657 and 3653
Related Least Common Multiples of 3653
Related Least Common Multiples of 3657
Frequently Asked Questions on LCM of 3653 and 3657
1. What is the LCM of 3653 and 3657?
Answer: LCM of 3653 and 3657 is 13359021.
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 3657?
Answer: Factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657. There are 8 integers that are factors of 3657. The greatest factor of 3657 is 3657.
4. How to Find the LCM of 3653 and 3657?
Answer:
Least Common Multiple of 3653 and 3657 = 13359021
Step 1: Find the prime factorization of 3653
3653 = 13 x 281
Step 2: Find the prime factorization of 3657
3657 = 3 x 23 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13359021 = 3 x 13 x 23 x 53 x 281
Step 4: Therefore, the least common multiple of 3653 and 3657 is 13359021.