Least Common Multiple of 3743 and 3750
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 3750 the smallest integer that is 14036250 that is divisible by both numbers.
Least Common Multiple (LCM) of 3743 and 3750 is 14036250.
LCM(3743,3750) = 14036250
LCM of 3743 and 3750
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3743 and 3750 by Prime method
- Least Common Multiple of 3743 and 3750 with GCF Formula
LCM of 3743 and 3750 is 14036250
Least common multiple can be found by multiplying the highest exponent prime factors of 3743 and 3750. First we will calculate the prime factors of 3743 and 3750.
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 3750
| 2 | 3750 |
| 3 | 1875 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 3750 are 2, 3,5. Prime factorization of 3750 in exponential form is:
3750 = 21×31×54
Now multiplying the highest exponent prime factors to calculate the LCM of 3743 and 3750.
LCM(3743,3750) = 21×31×54×191×1971
LCM(3743,3750) = 14036250
Factors of 3743
List of positive integer factors of 3743 that divides 3743 without a remainder.
1, 19, 197, 3743
Factors of 3750
List of positive integer factors of 3750 that divides 3750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750
Least Common Multiple of 3743 and 3750 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 3750, than apply into the LCM equation.
GCF(3743,3750) = 1
LCM(3743,3750) = ( 3743 × 3750) / 1
LCM(3743,3750) = 14036250 / 1
LCM(3743,3750) = 14036250
Properties of LCM 3743 and 3750
(i) The LCM of 3750 and 3743 is associative
LCM of 3743 and 3750 = LCM of 3750 and 3743
Related Least Common Multiples of 3743
Related Least Common Multiples of 3750
Frequently Asked Questions on LCM of 3743 and 3750
1. What is the LCM of 3743 and 3750?
Answer: LCM of 3743 and 3750 is 14036250.
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 3750?
Answer: Factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750. There are 20 integers that are factors of 3750. The greatest factor of 3750 is 3750.
4. How to Find the LCM of 3743 and 3750?
Answer:
Least Common Multiple of 3743 and 3750 = 14036250
Step 1: Find the prime factorization of 3743
3743 = 19 x 197
Step 2: Find the prime factorization of 3750
3750 = 2 x 3 x 5 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14036250 = 2 x 3 x 5 x 5 x 5 x 5 x 19 x 197
Step 4: Therefore, the least common multiple of 3743 and 3750 is 14036250.