Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3803 and 3811 the smallest integer that is 14493233 that is divisible by both numbers.
Least Common Multiple (LCM) of 3803 and 3811 is 14493233.
LCM(3803,3811) = 14493233
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3803 and 3811. First we will calculate the prime factors of 3803 and 3811.
Prime Factorization of 3803
3803 | 3803 |
1 |
Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:
3803 = 38031
Prime Factorization of 3811
37 | 3811 |
103 | 103 |
1 |
Prime factors of 3811 are 37,103. Prime factorization of 3811 in exponential form is:
3811 = 371×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 3803 and 3811.
LCM(3803,3811) = 371×1031×38031
LCM(3803,3811) = 14493233
Factors of 3803
List of positive integer factors of 3803 that divides 3803 without a remainder.
1, 3803
Factors of 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1, 37, 103, 3811
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3803 and 3811, than apply into the LCM equation.
GCF(3803,3811) = 1
LCM(3803,3811) = ( 3803 × 3811) / 1
LCM(3803,3811) = 14493233 / 1
LCM(3803,3811) = 14493233
(i) The LCM of 3811 and 3803 is associative
LCM of 3803 and 3811 = LCM of 3811 and 3803
1. What is the LCM of 3803 and 3811?
Answer: LCM of 3803 and 3811 is 14493233.
2. What are the Factors of 3803?
Answer: Factors of 3803 are 1, 3803. There are 2 integers that are factors of 3803. The greatest factor of 3803 is 3803.
3. What are the Factors of 3811?
Answer: Factors of 3811 are 1, 37, 103, 3811. There are 4 integers that are factors of 3811. The greatest factor of 3811 is 3811.
4. How to Find the LCM of 3803 and 3811?
Answer:
Least Common Multiple of 3803 and 3811 = 14493233
Step 1: Find the prime factorization of 3803
3803 = 3803
Step 2: Find the prime factorization of 3811
3811 = 37 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14493233 = 37 x 103 x 3803
Step 4: Therefore, the least common multiple of 3803 and 3811 is 14493233.