Least Common Multiple of 3743 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 3743 and 3749 the smallest integer that is 14032507 that is divisible by both numbers.
Least Common Multiple (LCM) of 3743 and 3749 is 14032507.
LCM(3743,3749) = 14032507
LCM of 3743 and 3749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3743 and 3749 by Prime method
- Least Common Multiple of 3743 and 3749 with GCF Formula
LCM of 3743 and 3749 is 14032507
Least common multiple can be found by multiplying the highest exponent prime factors of 3743 and 3749. First we will calculate the prime factors of 3743 and 3749.
Prime Factorization of 3743
| 19 | 3743 |
| 197 | 197 |
| 1 |
Prime factors of 3743 are 19,197. Prime factorization of 3743 in exponential form is:
3743 = 191×1971
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 3743 and 3749.
LCM(3743,3749) = 191×231×1631×1971
LCM(3743,3749) = 14032507
Factors of 3743
List of positive integer factors of 3743 that divides 3743 without a remainder.
1, 19, 197, 3743
Factors of 3749
List of positive integer factors of 3749 that divides 3749 without a remainder.
1, 23, 163, 3749
Least Common Multiple of 3743 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 3743 and 3749, than apply into the LCM equation.
GCF(3743,3749) = 1
LCM(3743,3749) = ( 3743 × 3749) / 1
LCM(3743,3749) = 14032507 / 1
LCM(3743,3749) = 14032507
Properties of LCM 3743 and 3749
(i) The LCM of 3749 and 3743 is associative
LCM of 3743 and 3749 = LCM of 3749 and 3743
Related Least Common Multiples of 3743
Related Least Common Multiples of 3749
Frequently Asked Questions on LCM of 3743 and 3749
1. What is the LCM of 3743 and 3749?
Answer: LCM of 3743 and 3749 is 14032507.
2. What are the Factors of 3743?
Answer: Factors of 3743 are 1, 19, 197, 3743. There are 4 integers that are factors of 3743. The greatest factor of 3743 is 3743.
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 3743 and 3749?
Answer:
Least Common Multiple of 3743 and 3749 = 14032507
Step 1: Find the prime factorization of 3743
3743 = 19 x 197
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 = 14032507 = 19 x 23 x 163 x 197
Step 4: Therefore, the least common multiple of 3743 and 3749 is 14032507.