Least Common Multiple of 3731 and 3739
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3731 and 3739 the smallest integer that is 13950209 that is divisible by both numbers.
Least Common Multiple (LCM) of 3731 and 3739 is 13950209.
LCM(3731,3739) = 13950209
LCM of 3731 and 3739
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3731 and 3739 by Prime method
- Least Common Multiple of 3731 and 3739 with GCF Formula
LCM of 3731 and 3739 is 13950209
Least common multiple can be found by multiplying the highest exponent prime factors of 3731 and 3739. First we will calculate the prime factors of 3731 and 3739.
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
Prime Factorization of 3739
| 3739 | 3739 |
| 1 |
Prime factors of 3739 are 3739. Prime factorization of 3739 in exponential form is:
3739 = 37391
Now multiplying the highest exponent prime factors to calculate the LCM of 3731 and 3739.
LCM(3731,3739) = 71×131×411×37391
LCM(3731,3739) = 13950209
Factors of 3731
List of positive integer factors of 3731 that divides 3731 without a remainder.
1, 7, 13, 41, 91, 287, 533, 3731
Factors of 3739
List of positive integer factors of 3739 that divides 3739 without a remainder.
1, 3739
Least Common Multiple of 3731 and 3739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3731 and 3739, than apply into the LCM equation.
GCF(3731,3739) = 1
LCM(3731,3739) = ( 3731 × 3739) / 1
LCM(3731,3739) = 13950209 / 1
LCM(3731,3739) = 13950209
Properties of LCM 3731 and 3739
(i) The LCM of 3739 and 3731 is associative
LCM of 3731 and 3739 = LCM of 3739 and 3731
Related Least Common Multiples of 3731
Related Least Common Multiples of 3739
Frequently Asked Questions on LCM of 3731 and 3739
1. What is the LCM of 3731 and 3739?
Answer: LCM of 3731 and 3739 is 13950209.
2. 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.
3. What are the Factors of 3739?
Answer: Factors of 3739 are 1, 3739. There are 2 integers that are factors of 3739. The greatest factor of 3739 is 3739.
4. How to Find the LCM of 3731 and 3739?
Answer:
Least Common Multiple of 3731 and 3739 = 13950209
Step 1: Find the prime factorization of 3731
3731 = 7 x 13 x 41
Step 2: Find the prime factorization of 3739
3739 = 3739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13950209 = 7 x 13 x 41 x 3739
Step 4: Therefore, the least common multiple of 3731 and 3739 is 13950209.