Least Common Multiple of 3657 and 3661
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3657 and 3661 the smallest integer that is 13388277 that is divisible by both numbers.
Least Common Multiple (LCM) of 3657 and 3661 is 13388277.
LCM(3657,3661) = 13388277
LCM of 3657 and 3661
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3657 and 3661 by Prime method
- Least Common Multiple of 3657 and 3661 with GCF Formula
LCM of 3657 and 3661 is 13388277
Least common multiple can be found by multiplying the highest exponent prime factors of 3657 and 3661. First we will calculate the prime factors of 3657 and 3661.
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
Prime Factorization of 3661
| 7 | 3661 |
| 523 | 523 |
| 1 |
Prime factors of 3661 are 7,523. Prime factorization of 3661 in exponential form is:
3661 = 71×5231
Now multiplying the highest exponent prime factors to calculate the LCM of 3657 and 3661.
LCM(3657,3661) = 31×71×231×531×5231
LCM(3657,3661) = 13388277
Factors of 3657
List of positive integer factors of 3657 that divides 3657 without a remainder.
1, 3, 23, 53, 69, 159, 1219, 3657
Factors of 3661
List of positive integer factors of 3661 that divides 3661 without a remainder.
1, 7, 523, 3661
Least Common Multiple of 3657 and 3661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3657 and 3661, than apply into the LCM equation.
GCF(3657,3661) = 1
LCM(3657,3661) = ( 3657 × 3661) / 1
LCM(3657,3661) = 13388277 / 1
LCM(3657,3661) = 13388277
Properties of LCM 3657 and 3661
(i) The LCM of 3661 and 3657 is associative
LCM of 3657 and 3661 = LCM of 3661 and 3657
Related Least Common Multiples of 3657
Related Least Common Multiples of 3661
Frequently Asked Questions on LCM of 3657 and 3661
1. What is the LCM of 3657 and 3661?
Answer: LCM of 3657 and 3661 is 13388277.
2. 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.
3. What are the Factors of 3661?
Answer: Factors of 3661 are 1, 7, 523, 3661. There are 4 integers that are factors of 3661. The greatest factor of 3661 is 3661.
4. How to Find the LCM of 3657 and 3661?
Answer:
Least Common Multiple of 3657 and 3661 = 13388277
Step 1: Find the prime factorization of 3657
3657 = 3 x 23 x 53
Step 2: Find the prime factorization of 3661
3661 = 7 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13388277 = 3 x 7 x 23 x 53 x 523
Step 4: Therefore, the least common multiple of 3657 and 3661 is 13388277.