Least Common Multiple of 3781 and 3789
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3781 and 3789 the smallest integer that is 14326209 that is divisible by both numbers.
Least Common Multiple (LCM) of 3781 and 3789 is 14326209.
LCM(3781,3789) = 14326209
LCM of 3781 and 3789
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3781 and 3789 by Prime method
- Least Common Multiple of 3781 and 3789 with GCF Formula
LCM of 3781 and 3789 is 14326209
Least common multiple can be found by multiplying the highest exponent prime factors of 3781 and 3789. First we will calculate the prime factors of 3781 and 3789.
Prime Factorization of 3781
| 19 | 3781 |
| 199 | 199 |
| 1 |
Prime factors of 3781 are 19,199. Prime factorization of 3781 in exponential form is:
3781 = 191×1991
Prime Factorization of 3789
| 3 | 3789 |
| 3 | 1263 |
| 421 | 421 |
| 1 |
Prime factors of 3789 are 3,421. Prime factorization of 3789 in exponential form is:
3789 = 32×4211
Now multiplying the highest exponent prime factors to calculate the LCM of 3781 and 3789.
LCM(3781,3789) = 32×191×1991×4211
LCM(3781,3789) = 14326209
Factors of 3781
List of positive integer factors of 3781 that divides 3781 without a remainder.
1, 19, 199, 3781
Factors of 3789
List of positive integer factors of 3789 that divides 3789 without a remainder.
1, 3, 9, 421, 1263, 3789
Least Common Multiple of 3781 and 3789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3781 and 3789, than apply into the LCM equation.
GCF(3781,3789) = 1
LCM(3781,3789) = ( 3781 × 3789) / 1
LCM(3781,3789) = 14326209 / 1
LCM(3781,3789) = 14326209
Properties of LCM 3781 and 3789
(i) The LCM of 3789 and 3781 is associative
LCM of 3781 and 3789 = LCM of 3789 and 3781
Related Least Common Multiples of 3781
Related Least Common Multiples of 3789
Frequently Asked Questions on LCM of 3781 and 3789
1. What is the LCM of 3781 and 3789?
Answer: LCM of 3781 and 3789 is 14326209.
2. What are the Factors of 3781?
Answer: Factors of 3781 are 1, 19, 199, 3781. There are 4 integers that are factors of 3781. The greatest factor of 3781 is 3781.
3. What are the Factors of 3789?
Answer: Factors of 3789 are 1, 3, 9, 421, 1263, 3789. There are 6 integers that are factors of 3789. The greatest factor of 3789 is 3789.
4. How to Find the LCM of 3781 and 3789?
Answer:
Least Common Multiple of 3781 and 3789 = 14326209
Step 1: Find the prime factorization of 3781
3781 = 19 x 199
Step 2: Find the prime factorization of 3789
3789 = 3 x 3 x 421
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14326209 = 3 x 3 x 19 x 199 x 421
Step 4: Therefore, the least common multiple of 3781 and 3789 is 14326209.