Least Common Multiple of 3745 and 3753
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3745 and 3753 the smallest integer that is 14054985 that is divisible by both numbers.
Least Common Multiple (LCM) of 3745 and 3753 is 14054985.
LCM(3745,3753) = 14054985
LCM of 3745 and 3753
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3745 and 3753 by Prime method
- Least Common Multiple of 3745 and 3753 with GCF Formula
LCM of 3745 and 3753 is 14054985
Least common multiple can be found by multiplying the highest exponent prime factors of 3745 and 3753. First we will calculate the prime factors of 3745 and 3753.
Prime Factorization of 3745
| 5 | 3745 |
| 7 | 749 |
| 107 | 107 |
| 1 |
Prime factors of 3745 are 5, 7,107. Prime factorization of 3745 in exponential form is:
3745 = 51×71×1071
Prime Factorization of 3753
| 3 | 3753 |
| 3 | 1251 |
| 3 | 417 |
| 139 | 139 |
| 1 |
Prime factors of 3753 are 3,139. Prime factorization of 3753 in exponential form is:
3753 = 33×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 3745 and 3753.
LCM(3745,3753) = 33×51×71×1071×1391
LCM(3745,3753) = 14054985
Factors of 3745
List of positive integer factors of 3745 that divides 3745 without a remainder.
1, 5, 7, 35, 107, 535, 749, 3745
Factors of 3753
List of positive integer factors of 3753 that divides 3753 without a remainder.
1, 3, 9, 27, 139, 417, 1251, 3753
Least Common Multiple of 3745 and 3753 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3745 and 3753, than apply into the LCM equation.
GCF(3745,3753) = 1
LCM(3745,3753) = ( 3745 × 3753) / 1
LCM(3745,3753) = 14054985 / 1
LCM(3745,3753) = 14054985
Properties of LCM 3745 and 3753
(i) The LCM of 3753 and 3745 is associative
LCM of 3745 and 3753 = LCM of 3753 and 3745
Related Least Common Multiples of 3745
Related Least Common Multiples of 3753
Frequently Asked Questions on LCM of 3745 and 3753
1. What is the LCM of 3745 and 3753?
Answer: LCM of 3745 and 3753 is 14054985.
2. What are the Factors of 3745?
Answer: Factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745. There are 8 integers that are factors of 3745. The greatest factor of 3745 is 3745.
3. What are the Factors of 3753?
Answer: Factors of 3753 are 1, 3, 9, 27, 139, 417, 1251, 3753. There are 8 integers that are factors of 3753. The greatest factor of 3753 is 3753.
4. How to Find the LCM of 3745 and 3753?
Answer:
Least Common Multiple of 3745 and 3753 = 14054985
Step 1: Find the prime factorization of 3745
3745 = 5 x 7 x 107
Step 2: Find the prime factorization of 3753
3753 = 3 x 3 x 3 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14054985 = 3 x 3 x 3 x 5 x 7 x 107 x 139
Step 4: Therefore, the least common multiple of 3745 and 3753 is 14054985.