Least Common Multiple of 3749 and 3757
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3749 and 3757 the smallest integer that is 14084993 that is divisible by both numbers.
Least Common Multiple (LCM) of 3749 and 3757 is 14084993.
LCM(3749,3757) = 14084993
LCM of 3749 and 3757
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3749 and 3757 by Prime method
- Least Common Multiple of 3749 and 3757 with GCF Formula
LCM of 3749 and 3757 is 14084993
Least common multiple can be found by multiplying the highest exponent prime factors of 3749 and 3757. First we will calculate the prime factors of 3749 and 3757.
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
Prime Factorization of 3757
| 13 | 3757 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 3757 are 13,17. Prime factorization of 3757 in exponential form is:
3757 = 131×172
Now multiplying the highest exponent prime factors to calculate the LCM of 3749 and 3757.
LCM(3749,3757) = 131×172×231×1631
LCM(3749,3757) = 14084993
Factors of 3749
List of positive integer factors of 3749 that divides 3749 without a remainder.
1, 23, 163, 3749
Factors of 3757
List of positive integer factors of 3757 that divides 3757 without a remainder.
1, 13, 17, 221, 289, 3757
Least Common Multiple of 3749 and 3757 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3749 and 3757, than apply into the LCM equation.
GCF(3749,3757) = 1
LCM(3749,3757) = ( 3749 × 3757) / 1
LCM(3749,3757) = 14084993 / 1
LCM(3749,3757) = 14084993
Properties of LCM 3749 and 3757
(i) The LCM of 3757 and 3749 is associative
LCM of 3749 and 3757 = LCM of 3757 and 3749
Related Least Common Multiples of 3749
Related Least Common Multiples of 3757
Frequently Asked Questions on LCM of 3749 and 3757
1. What is the LCM of 3749 and 3757?
Answer: LCM of 3749 and 3757 is 14084993.
2. 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.
3. What are the Factors of 3757?
Answer: Factors of 3757 are 1, 13, 17, 221, 289, 3757. There are 6 integers that are factors of 3757. The greatest factor of 3757 is 3757.
4. How to Find the LCM of 3749 and 3757?
Answer:
Least Common Multiple of 3749 and 3757 = 14084993
Step 1: Find the prime factorization of 3749
3749 = 23 x 163
Step 2: Find the prime factorization of 3757
3757 = 13 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14084993 = 13 x 17 x 17 x 23 x 163
Step 4: Therefore, the least common multiple of 3749 and 3757 is 14084993.