Least Common Multiple of 3781 and 3787
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 3787 the smallest integer that is 14318647 that is divisible by both numbers.
Least Common Multiple (LCM) of 3781 and 3787 is 14318647.
LCM(3781,3787) = 14318647
LCM of 3781 and 3787
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3781 and 3787 by Prime method
- Least Common Multiple of 3781 and 3787 with GCF Formula
LCM of 3781 and 3787 is 14318647
Least common multiple can be found by multiplying the highest exponent prime factors of 3781 and 3787. First we will calculate the prime factors of 3781 and 3787.
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 3787
| 7 | 3787 |
| 541 | 541 |
| 1 |
Prime factors of 3787 are 7,541. Prime factorization of 3787 in exponential form is:
3787 = 71×5411
Now multiplying the highest exponent prime factors to calculate the LCM of 3781 and 3787.
LCM(3781,3787) = 71×191×1991×5411
LCM(3781,3787) = 14318647
Factors of 3781
List of positive integer factors of 3781 that divides 3781 without a remainder.
1, 19, 199, 3781
Factors of 3787
List of positive integer factors of 3787 that divides 3787 without a remainder.
1, 7, 541, 3787
Least Common Multiple of 3781 and 3787 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 3787, than apply into the LCM equation.
GCF(3781,3787) = 1
LCM(3781,3787) = ( 3781 × 3787) / 1
LCM(3781,3787) = 14318647 / 1
LCM(3781,3787) = 14318647
Properties of LCM 3781 and 3787
(i) The LCM of 3787 and 3781 is associative
LCM of 3781 and 3787 = LCM of 3787 and 3781
Related Least Common Multiples of 3781
Related Least Common Multiples of 3787
Frequently Asked Questions on LCM of 3781 and 3787
1. What is the LCM of 3781 and 3787?
Answer: LCM of 3781 and 3787 is 14318647.
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 3787?
Answer: Factors of 3787 are 1, 7, 541, 3787. There are 4 integers that are factors of 3787. The greatest factor of 3787 is 3787.
4. How to Find the LCM of 3781 and 3787?
Answer:
Least Common Multiple of 3781 and 3787 = 14318647
Step 1: Find the prime factorization of 3781
3781 = 19 x 199
Step 2: Find the prime factorization of 3787
3787 = 7 x 541
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14318647 = 7 x 19 x 199 x 541
Step 4: Therefore, the least common multiple of 3781 and 3787 is 14318647.