Least Common Multiple of 3765 and 3773
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3765 and 3773 the smallest integer that is 14205345 that is divisible by both numbers.
Least Common Multiple (LCM) of 3765 and 3773 is 14205345.
LCM(3765,3773) = 14205345
LCM of 3765 and 3773
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3765 and 3773 by Prime method
- Least Common Multiple of 3765 and 3773 with GCF Formula
LCM of 3765 and 3773 is 14205345
Least common multiple can be found by multiplying the highest exponent prime factors of 3765 and 3773. First we will calculate the prime factors of 3765 and 3773.
Prime Factorization of 3765
| 3 | 3765 |
| 5 | 1255 |
| 251 | 251 |
| 1 |
Prime factors of 3765 are 3, 5,251. Prime factorization of 3765 in exponential form is:
3765 = 31×51×2511
Prime Factorization of 3773
| 7 | 3773 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 3773 are 7,11. Prime factorization of 3773 in exponential form is:
3773 = 73×111
Now multiplying the highest exponent prime factors to calculate the LCM of 3765 and 3773.
LCM(3765,3773) = 31×51×73×111×2511
LCM(3765,3773) = 14205345
Factors of 3765
List of positive integer factors of 3765 that divides 3765 without a remainder.
1, 3, 5, 15, 251, 753, 1255, 3765
Factors of 3773
List of positive integer factors of 3773 that divides 3773 without a remainder.
1, 7, 11, 49, 77, 343, 539, 3773
Least Common Multiple of 3765 and 3773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3765 and 3773, than apply into the LCM equation.
GCF(3765,3773) = 1
LCM(3765,3773) = ( 3765 × 3773) / 1
LCM(3765,3773) = 14205345 / 1
LCM(3765,3773) = 14205345
Properties of LCM 3765 and 3773
(i) The LCM of 3773 and 3765 is associative
LCM of 3765 and 3773 = LCM of 3773 and 3765
Related Least Common Multiples of 3765
Related Least Common Multiples of 3773
Frequently Asked Questions on LCM of 3765 and 3773
1. What is the LCM of 3765 and 3773?
Answer: LCM of 3765 and 3773 is 14205345.
2. What are the Factors of 3765?
Answer: Factors of 3765 are 1, 3, 5, 15, 251, 753, 1255, 3765. There are 8 integers that are factors of 3765. The greatest factor of 3765 is 3765.
3. What are the Factors of 3773?
Answer: Factors of 3773 are 1, 7, 11, 49, 77, 343, 539, 3773. There are 8 integers that are factors of 3773. The greatest factor of 3773 is 3773.
4. How to Find the LCM of 3765 and 3773?
Answer:
Least Common Multiple of 3765 and 3773 = 14205345
Step 1: Find the prime factorization of 3765
3765 = 3 x 5 x 251
Step 2: Find the prime factorization of 3773
3773 = 7 x 7 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14205345 = 3 x 5 x 7 x 7 x 7 x 11 x 251
Step 4: Therefore, the least common multiple of 3765 and 3773 is 14205345.