Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3655 and 3657 the smallest integer that is 13366335 that is divisible by both numbers.
Least Common Multiple (LCM) of 3655 and 3657 is 13366335.
LCM(3655,3657) = 13366335
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3655 and 3657. First we will calculate the prime factors of 3655 and 3657.
Prime Factorization of 3655
5 | 3655 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 3655 are 5, 17,43. Prime factorization of 3655 in exponential form is:
3655 = 51×171×431
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 3655 and 3657.
LCM(3655,3657) = 31×51×171×231×431×531
LCM(3655,3657) = 13366335
Factors of 3655
List of positive integer factors of 3655 that divides 3655 without a remainder.
1, 5, 17, 43, 85, 215, 731, 3655
Factors of 3657
List of positive integer factors of 3657 that divides 3657 without a remainder.
1, 3, 23, 53, 69, 159, 1219, 3657
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3655 and 3657, than apply into the LCM equation.
GCF(3655,3657) = 1
LCM(3655,3657) = ( 3655 × 3657) / 1
LCM(3655,3657) = 13366335 / 1
LCM(3655,3657) = 13366335
(i) The LCM of 3657 and 3655 is associative
LCM of 3655 and 3657 = LCM of 3657 and 3655
1. What is the LCM of 3655 and 3657?
Answer: LCM of 3655 and 3657 is 13366335.
2. What are the Factors of 3655?
Answer: Factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655. There are 8 integers that are factors of 3655. The greatest factor of 3655 is 3655.
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 3655 and 3657?
Answer:
Least Common Multiple of 3655 and 3657 = 13366335
Step 1: Find the prime factorization of 3655
3655 = 5 x 17 x 43
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 = 13366335 = 3 x 5 x 17 x 23 x 43 x 53
Step 4: Therefore, the least common multiple of 3655 and 3657 is 13366335.