Least Common Multiple of 3698 and 3706
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 3706 the smallest integer that is 6852394 that is divisible by both numbers.
Least Common Multiple (LCM) of 3698 and 3706 is 6852394.
LCM(3698,3706) = 6852394
LCM of 3698 and 3706
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3698 and 3706 by Prime method
- Least Common Multiple of 3698 and 3706 with GCF Formula
LCM of 3698 and 3706 is 6852394
Least common multiple can be found by multiplying the highest exponent prime factors of 3698 and 3706. First we will calculate the prime factors of 3698 and 3706.
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 3706
| 2 | 3706 |
| 17 | 1853 |
| 109 | 109 |
| 1 |
Prime factors of 3706 are 2, 17,109. Prime factorization of 3706 in exponential form is:
3706 = 21×171×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 3698 and 3706.
LCM(3698,3706) = 21×171×432×1091
LCM(3698,3706) = 6852394
Factors of 3698
List of positive integer factors of 3698 that divides 3698 without a remainder.
1, 2, 43, 86, 1849, 3698
Factors of 3706
List of positive integer factors of 3706 that divides 3706 without a remainder.
1, 2, 17, 34, 109, 218, 1853, 3706
Least Common Multiple of 3698 and 3706 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 3706, than apply into the LCM equation.
GCF(3698,3706) = 2
LCM(3698,3706) = ( 3698 × 3706) / 2
LCM(3698,3706) = 13704788 / 2
LCM(3698,3706) = 6852394
Properties of LCM 3698 and 3706
(i) The LCM of 3706 and 3698 is associative
LCM of 3698 and 3706 = LCM of 3706 and 3698
Related Least Common Multiples of 3698
Related Least Common Multiples of 3706
Frequently Asked Questions on LCM of 3698 and 3706
1. What is the LCM of 3698 and 3706?
Answer: LCM of 3698 and 3706 is 6852394.
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 3706?
Answer: Factors of 3706 are 1, 2, 17, 34, 109, 218, 1853, 3706. There are 8 integers that are factors of 3706. The greatest factor of 3706 is 3706.
4. How to Find the LCM of 3698 and 3706?
Answer:
Least Common Multiple of 3698 and 3706 = 6852394
Step 1: Find the prime factorization of 3698
3698 = 2 x 43 x 43
Step 2: Find the prime factorization of 3706
3706 = 2 x 17 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6852394 = 2 x 17 x 43 x 43 x 109
Step 4: Therefore, the least common multiple of 3698 and 3706 is 6852394.