Least Common Multiple of 3698 and 3703
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3698 and 3703 the smallest integer that is 13693694 that is divisible by both numbers.
Least Common Multiple (LCM) of 3698 and 3703 is 13693694.
LCM(3698,3703) = 13693694
LCM of 3698 and 3703
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3698 and 3703 by Prime method
- Least Common Multiple of 3698 and 3703 with GCF Formula
LCM of 3698 and 3703 is 13693694
Least common multiple can be found by multiplying the highest exponent prime factors of 3698 and 3703. First we will calculate the prime factors of 3698 and 3703.
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
Prime Factorization of 3703
| 7 | 3703 |
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:
3703 = 71×232
Now multiplying the highest exponent prime factors to calculate the LCM of 3698 and 3703.
LCM(3698,3703) = 21×71×232×432
LCM(3698,3703) = 13693694
Factors of 3698
List of positive integer factors of 3698 that divides 3698 without a remainder.
1, 2, 43, 86, 1849, 3698
Factors of 3703
List of positive integer factors of 3703 that divides 3703 without a remainder.
1, 7, 23, 161, 529, 3703
Least Common Multiple of 3698 and 3703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3698 and 3703, than apply into the LCM equation.
GCF(3698,3703) = 1
LCM(3698,3703) = ( 3698 × 3703) / 1
LCM(3698,3703) = 13693694 / 1
LCM(3698,3703) = 13693694
Properties of LCM 3698 and 3703
(i) The LCM of 3703 and 3698 is associative
LCM of 3698 and 3703 = LCM of 3703 and 3698
Related Least Common Multiples of 3698
Related Least Common Multiples of 3703
Frequently Asked Questions on LCM of 3698 and 3703
1. What is the LCM of 3698 and 3703?
Answer: LCM of 3698 and 3703 is 13693694.
2. 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.
3. What are the Factors of 3703?
Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.
4. How to Find the LCM of 3698 and 3703?
Answer:
Least Common Multiple of 3698 and 3703 = 13693694
Step 1: Find the prime factorization of 3698
3698 = 2 x 43 x 43
Step 2: Find the prime factorization of 3703
3703 = 7 x 23 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13693694 = 2 x 7 x 23 x 23 x 43 x 43
Step 4: Therefore, the least common multiple of 3698 and 3703 is 13693694.