Least Common Multiple of 7821 and 7822
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7821 and 7822 the smallest integer that is 61175862 that is divisible by both numbers.
Least Common Multiple (LCM) of 7821 and 7822 is 61175862.
LCM(7821,7822) = 61175862
LCM of 7821 and 7822
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7821 and 7822 by Prime method
- Least Common Multiple of 7821 and 7822 with GCF Formula
LCM of 7821 and 7822 is 61175862
Least common multiple can be found by multiplying the highest exponent prime factors of 7821 and 7822. First we will calculate the prime factors of 7821 and 7822.
Prime Factorization of 7821
| 3 | 7821 |
| 3 | 2607 |
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 7821 are 3, 11,79. Prime factorization of 7821 in exponential form is:
7821 = 32×111×791
Prime Factorization of 7822
| 2 | 7822 |
| 3911 | 3911 |
| 1 |
Prime factors of 7822 are 2,3911. Prime factorization of 7822 in exponential form is:
7822 = 21×39111
Now multiplying the highest exponent prime factors to calculate the LCM of 7821 and 7822.
LCM(7821,7822) = 21×32×111×791×39111
LCM(7821,7822) = 61175862
Factors of 7821
List of positive integer factors of 7821 that divides 7821 without a remainder.
1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821
Factors of 7822
List of positive integer factors of 7822 that divides 7822 without a remainder.
1, 2, 3911, 7822
Least Common Multiple of 7821 and 7822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7821 and 7822, than apply into the LCM equation.
GCF(7821,7822) = 1
LCM(7821,7822) = ( 7821 × 7822) / 1
LCM(7821,7822) = 61175862 / 1
LCM(7821,7822) = 61175862
Properties of LCM 7821 and 7822
(i) The LCM of 7822 and 7821 is associative
LCM of 7821 and 7822 = LCM of 7822 and 7821
Related Least Common Multiples of 7821
Related Least Common Multiples of 7822
Frequently Asked Questions on LCM of 7821 and 7822
1. What is the LCM of 7821 and 7822?
Answer: LCM of 7821 and 7822 is 61175862.
2. What are the Factors of 7821?
Answer: Factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821. There are 12 integers that are factors of 7821. The greatest factor of 7821 is 7821.
3. What are the Factors of 7822?
Answer: Factors of 7822 are 1, 2, 3911, 7822. There are 4 integers that are factors of 7822. The greatest factor of 7822 is 7822.
4. How to Find the LCM of 7821 and 7822?
Answer:
Least Common Multiple of 7821 and 7822 = 61175862
Step 1: Find the prime factorization of 7821
7821 = 3 x 3 x 11 x 79
Step 2: Find the prime factorization of 7822
7822 = 2 x 3911
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61175862 = 2 x 3 x 3 x 11 x 79 x 3911
Step 4: Therefore, the least common multiple of 7821 and 7822 is 61175862.