Least Common Multiple of 3729 and 3731
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3729 and 3731 the smallest integer that is 13912899 that is divisible by both numbers.
Least Common Multiple (LCM) of 3729 and 3731 is 13912899.
LCM(3729,3731) = 13912899
LCM of 3729 and 3731
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3729 and 3731 by Prime method
- Least Common Multiple of 3729 and 3731 with GCF Formula
LCM of 3729 and 3731 is 13912899
Least common multiple can be found by multiplying the highest exponent prime factors of 3729 and 3731. First we will calculate the prime factors of 3729 and 3731.
Prime Factorization of 3729
| 3 | 3729 |
| 11 | 1243 |
| 113 | 113 |
| 1 |
Prime factors of 3729 are 3, 11,113. Prime factorization of 3729 in exponential form is:
3729 = 31×111×1131
Prime Factorization of 3731
| 7 | 3731 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 3731 are 7, 13,41. Prime factorization of 3731 in exponential form is:
3731 = 71×131×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3729 and 3731.
LCM(3729,3731) = 31×71×111×131×411×1131
LCM(3729,3731) = 13912899
Factors of 3729
List of positive integer factors of 3729 that divides 3729 without a remainder.
1, 3, 11, 33, 113, 339, 1243, 3729
Factors of 3731
List of positive integer factors of 3731 that divides 3731 without a remainder.
1, 7, 13, 41, 91, 287, 533, 3731
Least Common Multiple of 3729 and 3731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3729 and 3731, than apply into the LCM equation.
GCF(3729,3731) = 1
LCM(3729,3731) = ( 3729 × 3731) / 1
LCM(3729,3731) = 13912899 / 1
LCM(3729,3731) = 13912899
Properties of LCM 3729 and 3731
(i) The LCM of 3731 and 3729 is associative
LCM of 3729 and 3731 = LCM of 3731 and 3729
Related Least Common Multiples of 3729
Related Least Common Multiples of 3731
Frequently Asked Questions on LCM of 3729 and 3731
1. What is the LCM of 3729 and 3731?
Answer: LCM of 3729 and 3731 is 13912899.
2. What are the Factors of 3729?
Answer: Factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729. There are 8 integers that are factors of 3729. The greatest factor of 3729 is 3729.
3. What are the Factors of 3731?
Answer: Factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731. There are 8 integers that are factors of 3731. The greatest factor of 3731 is 3731.
4. How to Find the LCM of 3729 and 3731?
Answer:
Least Common Multiple of 3729 and 3731 = 13912899
Step 1: Find the prime factorization of 3729
3729 = 3 x 11 x 113
Step 2: Find the prime factorization of 3731
3731 = 7 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13912899 = 3 x 7 x 11 x 13 x 41 x 113
Step 4: Therefore, the least common multiple of 3729 and 3731 is 13912899.
