Least Common Multiple of 7813 and 7821
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7813 and 7821 the smallest integer that is 61105473 that is divisible by both numbers.
Least Common Multiple (LCM) of 7813 and 7821 is 61105473.
LCM(7813,7821) = 61105473
LCM of 7813 and 7821
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7813 and 7821 by Prime method
- Least Common Multiple of 7813 and 7821 with GCF Formula
LCM of 7813 and 7821 is 61105473
Least common multiple can be found by multiplying the highest exponent prime factors of 7813 and 7821. First we will calculate the prime factors of 7813 and 7821.
Prime Factorization of 7813
| 13 | 7813 |
| 601 | 601 |
| 1 |
Prime factors of 7813 are 13,601. Prime factorization of 7813 in exponential form is:
7813 = 131×6011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7813 and 7821.
LCM(7813,7821) = 32×111×131×791×6011
LCM(7813,7821) = 61105473
Factors of 7813
List of positive integer factors of 7813 that divides 7813 without a remainder.
1, 13, 601, 7813
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
Least Common Multiple of 7813 and 7821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7813 and 7821, than apply into the LCM equation.
GCF(7813,7821) = 1
LCM(7813,7821) = ( 7813 × 7821) / 1
LCM(7813,7821) = 61105473 / 1
LCM(7813,7821) = 61105473
Properties of LCM 7813 and 7821
(i) The LCM of 7821 and 7813 is associative
LCM of 7813 and 7821 = LCM of 7821 and 7813
Related Least Common Multiples of 7813
Related Least Common Multiples of 7821
Frequently Asked Questions on LCM of 7813 and 7821
1. What is the LCM of 7813 and 7821?
Answer: LCM of 7813 and 7821 is 61105473.
2. What are the Factors of 7813?
Answer: Factors of 7813 are 1, 13, 601, 7813. There are 4 integers that are factors of 7813. The greatest factor of 7813 is 7813.
3. 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.
4. How to Find the LCM of 7813 and 7821?
Answer:
Least Common Multiple of 7813 and 7821 = 61105473
Step 1: Find the prime factorization of 7813
7813 = 13 x 601
Step 2: Find the prime factorization of 7821
7821 = 3 x 3 x 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61105473 = 3 x 3 x 11 x 13 x 79 x 601
Step 4: Therefore, the least common multiple of 7813 and 7821 is 61105473.