Least Common Multiple of 3750 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 3750 and 3751 the smallest integer that is 14066250 that is divisible by both numbers.
Least Common Multiple (LCM) of 3750 and 3751 is 14066250.
LCM(3750,3751) = 14066250
LCM of 3750 and 3751
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3750 and 3751 by Prime method
- Least Common Multiple of 3750 and 3751 with GCF Formula
LCM of 3750 and 3751 is 14066250
Least common multiple can be found by multiplying the highest exponent prime factors of 3750 and 3751. First we will calculate the prime factors of 3750 and 3751.
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
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 3750 and 3751.
LCM(3750,3751) = 21×31×54×112×311
LCM(3750,3751) = 14066250
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
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 3750 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 3750 and 3751, than apply into the LCM equation.
GCF(3750,3751) = 1
LCM(3750,3751) = ( 3750 × 3751) / 1
LCM(3750,3751) = 14066250 / 1
LCM(3750,3751) = 14066250
Properties of LCM 3750 and 3751
(i) The LCM of 3751 and 3750 is associative
LCM of 3750 and 3751 = LCM of 3751 and 3750
Related Least Common Multiples of 3750
Related Least Common Multiples of 3751
Frequently Asked Questions on LCM of 3750 and 3751
1. What is the LCM of 3750 and 3751?
Answer: LCM of 3750 and 3751 is 14066250.
2. 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.
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 3750 and 3751?
Answer:
Least Common Multiple of 3750 and 3751 = 14066250
Step 1: Find the prime factorization of 3750
3750 = 2 x 3 x 5 x 5 x 5 x 5
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 = 14066250 = 2 x 3 x 5 x 5 x 5 x 5 x 11 x 11 x 31
Step 4: Therefore, the least common multiple of 3750 and 3751 is 14066250.