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 3656 the smallest integer that is 13355368 that is divisible by both numbers.
Least Common Multiple (LCM) of 3653 and 3656 is 13355368.
LCM(3653,3656) = 13355368
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 3653 and 3656. First we will calculate the prime factors of 3653 and 3656.
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 3656
2 | 3656 |
2 | 1828 |
2 | 914 |
457 | 457 |
1 |
Prime factors of 3656 are 2,457. Prime factorization of 3656 in exponential form is:
3656 = 23×4571
Now multiplying the highest exponent prime factors to calculate the LCM of 3653 and 3656.
LCM(3653,3656) = 23×131×2811×4571
LCM(3653,3656) = 13355368
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1, 13, 281, 3653
Factors of 3656
List of positive integer factors of 3656 that divides 3656 without a remainder.
1, 2, 4, 8, 457, 914, 1828, 3656
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3653 and 3656, than apply into the LCM equation.
GCF(3653,3656) = 1
LCM(3653,3656) = ( 3653 × 3656) / 1
LCM(3653,3656) = 13355368 / 1
LCM(3653,3656) = 13355368
(i) The LCM of 3656 and 3653 is associative
LCM of 3653 and 3656 = LCM of 3656 and 3653
1. What is the LCM of 3653 and 3656?
Answer: LCM of 3653 and 3656 is 13355368.
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 3656?
Answer: Factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656. There are 8 integers that are factors of 3656. The greatest factor of 3656 is 3656.
4. How to Find the LCM of 3653 and 3656?
Answer:
Least Common Multiple of 3653 and 3656 = 13355368
Step 1: Find the prime factorization of 3653
3653 = 13 x 281
Step 2: Find the prime factorization of 3656
3656 = 2 x 2 x 2 x 457
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13355368 = 2 x 2 x 2 x 13 x 281 x 457
Step 4: Therefore, the least common multiple of 3653 and 3656 is 13355368.