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 3659 the smallest integer that is 13366327 that is divisible by both numbers.
Least Common Multiple (LCM) of 3653 and 3659 is 13366327.
LCM(3653,3659) = 13366327
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 3659. First we will calculate the prime factors of 3653 and 3659.
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 3659
3659 | 3659 |
1 |
Prime factors of 3659 are 3659. Prime factorization of 3659 in exponential form is:
3659 = 36591
Now multiplying the highest exponent prime factors to calculate the LCM of 3653 and 3659.
LCM(3653,3659) = 131×2811×36591
LCM(3653,3659) = 13366327
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1, 13, 281, 3653
Factors of 3659
List of positive integer factors of 3659 that divides 3659 without a remainder.
1, 3659
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3653 and 3659, than apply into the LCM equation.
GCF(3653,3659) = 1
LCM(3653,3659) = ( 3653 × 3659) / 1
LCM(3653,3659) = 13366327 / 1
LCM(3653,3659) = 13366327
(i) The LCM of 3659 and 3653 is associative
LCM of 3653 and 3659 = LCM of 3659 and 3653
1. What is the LCM of 3653 and 3659?
Answer: LCM of 3653 and 3659 is 13366327.
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 3659?
Answer: Factors of 3659 are 1, 3659. There are 2 integers that are factors of 3659. The greatest factor of 3659 is 3659.
4. How to Find the LCM of 3653 and 3659?
Answer:
Least Common Multiple of 3653 and 3659 = 13366327
Step 1: Find the prime factorization of 3653
3653 = 13 x 281
Step 2: Find the prime factorization of 3659
3659 = 3659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13366327 = 13 x 281 x 3659
Step 4: Therefore, the least common multiple of 3653 and 3659 is 13366327.