Least Common Multiple of 3693 and 3698
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3693 and 3698 the smallest integer that is 13656714 that is divisible by both numbers.
Least Common Multiple (LCM) of 3693 and 3698 is 13656714.
LCM(3693,3698) = 13656714
LCM of 3693 and 3698
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3693 and 3698 by Prime method
- Least Common Multiple of 3693 and 3698 with GCF Formula
LCM of 3693 and 3698 is 13656714
Least common multiple can be found by multiplying the highest exponent prime factors of 3693 and 3698. First we will calculate the prime factors of 3693 and 3698.
Prime Factorization of 3693
| 3 | 3693 |
| 1231 | 1231 |
| 1 |
Prime factors of 3693 are 3,1231. Prime factorization of 3693 in exponential form is:
3693 = 31×12311
Prime Factorization of 3698
| 2 | 3698 |
| 43 | 1849 |
| 43 | 43 |
| 1 |
Prime factors of 3698 are 2,43. Prime factorization of 3698 in exponential form is:
3698 = 21×432
Now multiplying the highest exponent prime factors to calculate the LCM of 3693 and 3698.
LCM(3693,3698) = 21×31×432×12311
LCM(3693,3698) = 13656714
Factors of 3693
List of positive integer factors of 3693 that divides 3693 without a remainder.
1, 3, 1231, 3693
Factors of 3698
List of positive integer factors of 3698 that divides 3698 without a remainder.
1, 2, 43, 86, 1849, 3698
Least Common Multiple of 3693 and 3698 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3693 and 3698, than apply into the LCM equation.
GCF(3693,3698) = 1
LCM(3693,3698) = ( 3693 × 3698) / 1
LCM(3693,3698) = 13656714 / 1
LCM(3693,3698) = 13656714
Properties of LCM 3693 and 3698
(i) The LCM of 3698 and 3693 is associative
LCM of 3693 and 3698 = LCM of 3698 and 3693
Related Least Common Multiples of 3693
Related Least Common Multiples of 3698
Frequently Asked Questions on LCM of 3693 and 3698
1. What is the LCM of 3693 and 3698?
Answer: LCM of 3693 and 3698 is 13656714.
2. What are the Factors of 3693?
Answer: Factors of 3693 are 1, 3, 1231, 3693. There are 4 integers that are factors of 3693. The greatest factor of 3693 is 3693.
3. What are the Factors of 3698?
Answer: Factors of 3698 are 1, 2, 43, 86, 1849, 3698. There are 6 integers that are factors of 3698. The greatest factor of 3698 is 3698.
4. How to Find the LCM of 3693 and 3698?
Answer:
Least Common Multiple of 3693 and 3698 = 13656714
Step 1: Find the prime factorization of 3693
3693 = 3 x 1231
Step 2: Find the prime factorization of 3698
3698 = 2 x 43 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13656714 = 2 x 3 x 43 x 43 x 1231
Step 4: Therefore, the least common multiple of 3693 and 3698 is 13656714.