Least Common Multiple of 3698 and 3705
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 3705 the smallest integer that is 13701090 that is divisible by both numbers.
Least Common Multiple (LCM) of 3698 and 3705 is 13701090.
LCM(3698,3705) = 13701090
LCM of 3698 and 3705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3698 and 3705 by Prime method
- Least Common Multiple of 3698 and 3705 with GCF Formula
LCM of 3698 and 3705 is 13701090
Least common multiple can be found by multiplying the highest exponent prime factors of 3698 and 3705. First we will calculate the prime factors of 3698 and 3705.
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 3705
| 3 | 3705 |
| 5 | 1235 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 3705 are 3, 5, 13,19. Prime factorization of 3705 in exponential form is:
3705 = 31×51×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 3698 and 3705.
LCM(3698,3705) = 21×31×51×131×191×432
LCM(3698,3705) = 13701090
Factors of 3698
List of positive integer factors of 3698 that divides 3698 without a remainder.
1, 2, 43, 86, 1849, 3698
Factors of 3705
List of positive integer factors of 3705 that divides 3705 without a remainder.
1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705
Least Common Multiple of 3698 and 3705 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 3705, than apply into the LCM equation.
GCF(3698,3705) = 1
LCM(3698,3705) = ( 3698 × 3705) / 1
LCM(3698,3705) = 13701090 / 1
LCM(3698,3705) = 13701090
Properties of LCM 3698 and 3705
(i) The LCM of 3705 and 3698 is associative
LCM of 3698 and 3705 = LCM of 3705 and 3698
Related Least Common Multiples of 3698
Related Least Common Multiples of 3705
Frequently Asked Questions on LCM of 3698 and 3705
1. What is the LCM of 3698 and 3705?
Answer: LCM of 3698 and 3705 is 13701090.
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 3705?
Answer: Factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705. There are 16 integers that are factors of 3705. The greatest factor of 3705 is 3705.
4. How to Find the LCM of 3698 and 3705?
Answer:
Least Common Multiple of 3698 and 3705 = 13701090
Step 1: Find the prime factorization of 3698
3698 = 2 x 43 x 43
Step 2: Find the prime factorization of 3705
3705 = 3 x 5 x 13 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 = 13701090 = 2 x 3 x 5 x 13 x 19 x 43 x 43
Step 4: Therefore, the least common multiple of 3698 and 3705 is 13701090.