Least Common Multiple of 3775 and 3783
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3775 and 3783 the smallest integer that is 14280825 that is divisible by both numbers.
Least Common Multiple (LCM) of 3775 and 3783 is 14280825.
LCM(3775,3783) = 14280825
LCM of 3775 and 3783
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3775 and 3783 by Prime method
- Least Common Multiple of 3775 and 3783 with GCF Formula
LCM of 3775 and 3783 is 14280825
Least common multiple can be found by multiplying the highest exponent prime factors of 3775 and 3783. First we will calculate the prime factors of 3775 and 3783.
Prime Factorization of 3775
| 5 | 3775 |
| 5 | 755 |
| 151 | 151 |
| 1 |
Prime factors of 3775 are 5,151. Prime factorization of 3775 in exponential form is:
3775 = 52×1511
Prime Factorization of 3783
| 3 | 3783 |
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 3783 are 3, 13,97. Prime factorization of 3783 in exponential form is:
3783 = 31×131×971
Now multiplying the highest exponent prime factors to calculate the LCM of 3775 and 3783.
LCM(3775,3783) = 31×52×131×971×1511
LCM(3775,3783) = 14280825
Factors of 3775
List of positive integer factors of 3775 that divides 3775 without a remainder.
1, 5, 25, 151, 755, 3775
Factors of 3783
List of positive integer factors of 3783 that divides 3783 without a remainder.
1, 3, 13, 39, 97, 291, 1261, 3783
Least Common Multiple of 3775 and 3783 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3775 and 3783, than apply into the LCM equation.
GCF(3775,3783) = 1
LCM(3775,3783) = ( 3775 × 3783) / 1
LCM(3775,3783) = 14280825 / 1
LCM(3775,3783) = 14280825
Properties of LCM 3775 and 3783
(i) The LCM of 3783 and 3775 is associative
LCM of 3775 and 3783 = LCM of 3783 and 3775
Related Least Common Multiples of 3775
Related Least Common Multiples of 3783
Frequently Asked Questions on LCM of 3775 and 3783
1. What is the LCM of 3775 and 3783?
Answer: LCM of 3775 and 3783 is 14280825.
2. What are the Factors of 3775?
Answer: Factors of 3775 are 1, 5, 25, 151, 755, 3775. There are 6 integers that are factors of 3775. The greatest factor of 3775 is 3775.
3. What are the Factors of 3783?
Answer: Factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783. There are 8 integers that are factors of 3783. The greatest factor of 3783 is 3783.
4. How to Find the LCM of 3775 and 3783?
Answer:
Least Common Multiple of 3775 and 3783 = 14280825
Step 1: Find the prime factorization of 3775
3775 = 5 x 5 x 151
Step 2: Find the prime factorization of 3783
3783 = 3 x 13 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14280825 = 3 x 5 x 5 x 13 x 97 x 151
Step 4: Therefore, the least common multiple of 3775 and 3783 is 14280825.