Least Common Multiple of 3743 and 3751
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 3751 the smallest integer that is 14039993 that is divisible by both numbers.
Least Common Multiple (LCM) of 3743 and 3751 is 14039993.
LCM(3743,3751) = 14039993
LCM of 3743 and 3751
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3743 and 3751 by Prime method
- Least Common Multiple of 3743 and 3751 with GCF Formula
LCM of 3743 and 3751 is 14039993
Least common multiple can be found by multiplying the highest exponent prime factors of 3743 and 3751. First we will calculate the prime factors of 3743 and 3751.
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 3751
| 11 | 3751 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 3751 are 11,31. Prime factorization of 3751 in exponential form is:
3751 = 112×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3743 and 3751.
LCM(3743,3751) = 112×191×311×1971
LCM(3743,3751) = 14039993
Factors of 3743
List of positive integer factors of 3743 that divides 3743 without a remainder.
1, 19, 197, 3743
Factors of 3751
List of positive integer factors of 3751 that divides 3751 without a remainder.
1, 11, 31, 121, 341, 3751
Least Common Multiple of 3743 and 3751 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 3751, than apply into the LCM equation.
GCF(3743,3751) = 1
LCM(3743,3751) = ( 3743 × 3751) / 1
LCM(3743,3751) = 14039993 / 1
LCM(3743,3751) = 14039993
Properties of LCM 3743 and 3751
(i) The LCM of 3751 and 3743 is associative
LCM of 3743 and 3751 = LCM of 3751 and 3743
Related Least Common Multiples of 3743
Related Least Common Multiples of 3751
Frequently Asked Questions on LCM of 3743 and 3751
1. What is the LCM of 3743 and 3751?
Answer: LCM of 3743 and 3751 is 14039993.
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 3751?
Answer: Factors of 3751 are 1, 11, 31, 121, 341, 3751. There are 6 integers that are factors of 3751. The greatest factor of 3751 is 3751.
4. How to Find the LCM of 3743 and 3751?
Answer:
Least Common Multiple of 3743 and 3751 = 14039993
Step 1: Find the prime factorization of 3743
3743 = 19 x 197
Step 2: Find the prime factorization of 3751
3751 = 11 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14039993 = 11 x 11 x 19 x 31 x 197
Step 4: Therefore, the least common multiple of 3743 and 3751 is 14039993.