Least Common Multiple of 3691 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 3691 and 3698 the smallest integer that is 13649318 that is divisible by both numbers.
Least Common Multiple (LCM) of 3691 and 3698 is 13649318.
LCM(3691,3698) = 13649318
LCM of 3691 and 3698
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3691 and 3698 by Prime method
- Least Common Multiple of 3691 and 3698 with GCF Formula
LCM of 3691 and 3698 is 13649318
Least common multiple can be found by multiplying the highest exponent prime factors of 3691 and 3698. First we will calculate the prime factors of 3691 and 3698.
Prime Factorization of 3691
| 3691 | 3691 |
| 1 |
Prime factors of 3691 are 3691. Prime factorization of 3691 in exponential form is:
3691 = 36911
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 3691 and 3698.
LCM(3691,3698) = 21×432×36911
LCM(3691,3698) = 13649318
Factors of 3691
List of positive integer factors of 3691 that divides 3691 without a remainder.
1, 3691
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 3691 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 3691 and 3698, than apply into the LCM equation.
GCF(3691,3698) = 1
LCM(3691,3698) = ( 3691 × 3698) / 1
LCM(3691,3698) = 13649318 / 1
LCM(3691,3698) = 13649318
Properties of LCM 3691 and 3698
(i) The LCM of 3698 and 3691 is associative
LCM of 3691 and 3698 = LCM of 3698 and 3691
Related Least Common Multiples of 3691
Related Least Common Multiples of 3698
Frequently Asked Questions on LCM of 3691 and 3698
1. What is the LCM of 3691 and 3698?
Answer: LCM of 3691 and 3698 is 13649318.
2. What are the Factors of 3691?
Answer: Factors of 3691 are 1, 3691. There are 2 integers that are factors of 3691. The greatest factor of 3691 is 3691.
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 3691 and 3698?
Answer:
Least Common Multiple of 3691 and 3698 = 13649318
Step 1: Find the prime factorization of 3691
3691 = 3691
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 = 13649318 = 2 x 43 x 43 x 3691
Step 4: Therefore, the least common multiple of 3691 and 3698 is 13649318.