Least Common Multiple of 3603 and 3610
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3603 and 3610 the smallest integer that is 13006830 that is divisible by both numbers.
Least Common Multiple (LCM) of 3603 and 3610 is 13006830.
LCM(3603,3610) = 13006830
LCM of 3603 and 3610
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3603 and 3610 by Prime method
- Least Common Multiple of 3603 and 3610 with GCF Formula
LCM of 3603 and 3610 is 13006830
Least common multiple can be found by multiplying the highest exponent prime factors of 3603 and 3610. First we will calculate the prime factors of 3603 and 3610.
Prime Factorization of 3603
| 3 | 3603 |
| 1201 | 1201 |
| 1 |
Prime factors of 3603 are 3,1201. Prime factorization of 3603 in exponential form is:
3603 = 31×12011
Prime Factorization of 3610
| 2 | 3610 |
| 5 | 1805 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 3610 are 2, 5,19. Prime factorization of 3610 in exponential form is:
3610 = 21×51×192
Now multiplying the highest exponent prime factors to calculate the LCM of 3603 and 3610.
LCM(3603,3610) = 21×31×51×192×12011
LCM(3603,3610) = 13006830
Factors of 3603
List of positive integer factors of 3603 that divides 3603 without a remainder.
1, 3, 1201, 3603
Factors of 3610
List of positive integer factors of 3610 that divides 3610 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610
Least Common Multiple of 3603 and 3610 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3603 and 3610, than apply into the LCM equation.
GCF(3603,3610) = 1
LCM(3603,3610) = ( 3603 × 3610) / 1
LCM(3603,3610) = 13006830 / 1
LCM(3603,3610) = 13006830
Properties of LCM 3603 and 3610
(i) The LCM of 3610 and 3603 is associative
LCM of 3603 and 3610 = LCM of 3610 and 3603
Related Least Common Multiples of 3603
Related Least Common Multiples of 3610
Frequently Asked Questions on LCM of 3603 and 3610
1. What is the LCM of 3603 and 3610?
Answer: LCM of 3603 and 3610 is 13006830.
2. What are the Factors of 3603?
Answer: Factors of 3603 are 1, 3, 1201, 3603. There are 4 integers that are factors of 3603. The greatest factor of 3603 is 3603.
3. What are the Factors of 3610?
Answer: Factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610. There are 12 integers that are factors of 3610. The greatest factor of 3610 is 3610.
4. How to Find the LCM of 3603 and 3610?
Answer:
Least Common Multiple of 3603 and 3610 = 13006830
Step 1: Find the prime factorization of 3603
3603 = 3 x 1201
Step 2: Find the prime factorization of 3610
3610 = 2 x 5 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13006830 = 2 x 3 x 5 x 19 x 19 x 1201
Step 4: Therefore, the least common multiple of 3603 and 3610 is 13006830.