Least Common Multiple of 7803 and 7811
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7803 and 7811 the smallest integer that is 60949233 that is divisible by both numbers.
Least Common Multiple (LCM) of 7803 and 7811 is 60949233.
LCM(7803,7811) = 60949233
LCM of 7803 and 7811
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7803 and 7811 by Prime method
- Least Common Multiple of 7803 and 7811 with GCF Formula
LCM of 7803 and 7811 is 60949233
Least common multiple can be found by multiplying the highest exponent prime factors of 7803 and 7811. First we will calculate the prime factors of 7803 and 7811.
Prime Factorization of 7803
| 3 | 7803 |
| 3 | 2601 |
| 3 | 867 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 7803 are 3,17. Prime factorization of 7803 in exponential form is:
7803 = 33×172
Prime Factorization of 7811
| 73 | 7811 |
| 107 | 107 |
| 1 |
Prime factors of 7811 are 73,107. Prime factorization of 7811 in exponential form is:
7811 = 731×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 7803 and 7811.
LCM(7803,7811) = 33×172×731×1071
LCM(7803,7811) = 60949233
Factors of 7803
List of positive integer factors of 7803 that divides 7803 without a remainder.
1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803
Factors of 7811
List of positive integer factors of 7811 that divides 7811 without a remainder.
1, 73, 107, 7811
Least Common Multiple of 7803 and 7811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7803 and 7811, than apply into the LCM equation.
GCF(7803,7811) = 1
LCM(7803,7811) = ( 7803 × 7811) / 1
LCM(7803,7811) = 60949233 / 1
LCM(7803,7811) = 60949233
Properties of LCM 7803 and 7811
(i) The LCM of 7811 and 7803 is associative
LCM of 7803 and 7811 = LCM of 7811 and 7803
Related Least Common Multiples of 7803
Related Least Common Multiples of 7811
Frequently Asked Questions on LCM of 7803 and 7811
1. What is the LCM of 7803 and 7811?
Answer: LCM of 7803 and 7811 is 60949233.
2. What are the Factors of 7803?
Answer: Factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803. There are 12 integers that are factors of 7803. The greatest factor of 7803 is 7803.
3. What are the Factors of 7811?
Answer: Factors of 7811 are 1, 73, 107, 7811. There are 4 integers that are factors of 7811. The greatest factor of 7811 is 7811.
4. How to Find the LCM of 7803 and 7811?
Answer:
Least Common Multiple of 7803 and 7811 = 60949233
Step 1: Find the prime factorization of 7803
7803 = 3 x 3 x 3 x 17 x 17
Step 2: Find the prime factorization of 7811
7811 = 73 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60949233 = 3 x 3 x 3 x 17 x 17 x 73 x 107
Step 4: Therefore, the least common multiple of 7803 and 7811 is 60949233.