Least Common Multiple of 3741 and 3749
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3741 and 3749 the smallest integer that is 14025009 that is divisible by both numbers.
Least Common Multiple (LCM) of 3741 and 3749 is 14025009.
LCM(3741,3749) = 14025009
LCM of 3741 and 3749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3741 and 3749 by Prime method
- Least Common Multiple of 3741 and 3749 with GCF Formula
LCM of 3741 and 3749 is 14025009
Least common multiple can be found by multiplying the highest exponent prime factors of 3741 and 3749. First we will calculate the prime factors of 3741 and 3749.
Prime Factorization of 3741
| 3 | 3741 |
| 29 | 1247 |
| 43 | 43 |
| 1 |
Prime factors of 3741 are 3, 29,43. Prime factorization of 3741 in exponential form is:
3741 = 31×291×431
Prime Factorization of 3749
| 23 | 3749 |
| 163 | 163 |
| 1 |
Prime factors of 3749 are 23,163. Prime factorization of 3749 in exponential form is:
3749 = 231×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 3741 and 3749.
LCM(3741,3749) = 31×231×291×431×1631
LCM(3741,3749) = 14025009
Factors of 3741
List of positive integer factors of 3741 that divides 3741 without a remainder.
1, 3, 29, 43, 87, 129, 1247, 3741
Factors of 3749
List of positive integer factors of 3749 that divides 3749 without a remainder.
1, 23, 163, 3749
Least Common Multiple of 3741 and 3749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3741 and 3749, than apply into the LCM equation.
GCF(3741,3749) = 1
LCM(3741,3749) = ( 3741 × 3749) / 1
LCM(3741,3749) = 14025009 / 1
LCM(3741,3749) = 14025009
Properties of LCM 3741 and 3749
(i) The LCM of 3749 and 3741 is associative
LCM of 3741 and 3749 = LCM of 3749 and 3741
Related Least Common Multiples of 3741
Related Least Common Multiples of 3749
Frequently Asked Questions on LCM of 3741 and 3749
1. What is the LCM of 3741 and 3749?
Answer: LCM of 3741 and 3749 is 14025009.
2. What are the Factors of 3741?
Answer: Factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741. There are 8 integers that are factors of 3741. The greatest factor of 3741 is 3741.
3. What are the Factors of 3749?
Answer: Factors of 3749 are 1, 23, 163, 3749. There are 4 integers that are factors of 3749. The greatest factor of 3749 is 3749.
4. How to Find the LCM of 3741 and 3749?
Answer:
Least Common Multiple of 3741 and 3749 = 14025009
Step 1: Find the prime factorization of 3741
3741 = 3 x 29 x 43
Step 2: Find the prime factorization of 3749
3749 = 23 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14025009 = 3 x 23 x 29 x 43 x 163
Step 4: Therefore, the least common multiple of 3741 and 3749 is 14025009.