Least Common Multiple of 7826 and 7833
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7826 and 7833 the smallest integer that is 8757294 that is divisible by both numbers.
Least Common Multiple (LCM) of 7826 and 7833 is 8757294.
LCM(7826,7833) = 8757294
LCM of 7826 and 7833
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7826 and 7833 by Prime method
- Least Common Multiple of 7826 and 7833 with GCF Formula
LCM of 7826 and 7833 is 8757294
Least common multiple can be found by multiplying the highest exponent prime factors of 7826 and 7833. First we will calculate the prime factors of 7826 and 7833.
Prime Factorization of 7826
| 2 | 7826 |
| 7 | 3913 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 7826 are 2, 7, 13,43. Prime factorization of 7826 in exponential form is:
7826 = 21×71×131×431
Prime Factorization of 7833
| 3 | 7833 |
| 7 | 2611 |
| 373 | 373 |
| 1 |
Prime factors of 7833 are 3, 7,373. Prime factorization of 7833 in exponential form is:
7833 = 31×71×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 7826 and 7833.
LCM(7826,7833) = 21×31×71×131×431×3731
LCM(7826,7833) = 8757294
Factors of 7826
List of positive integer factors of 7826 that divides 7826 without a remainder.
1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826
Factors of 7833
List of positive integer factors of 7833 that divides 7833 without a remainder.
1, 3, 7, 21, 373, 1119, 2611, 7833
Least Common Multiple of 7826 and 7833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7826 and 7833, than apply into the LCM equation.
GCF(7826,7833) = 7
LCM(7826,7833) = ( 7826 × 7833) / 7
LCM(7826,7833) = 61301058 / 7
LCM(7826,7833) = 8757294
Properties of LCM 7826 and 7833
(i) The LCM of 7833 and 7826 is associative
LCM of 7826 and 7833 = LCM of 7833 and 7826
Related Least Common Multiples of 7826
Related Least Common Multiples of 7833
Frequently Asked Questions on LCM of 7826 and 7833
1. What is the LCM of 7826 and 7833?
Answer: LCM of 7826 and 7833 is 8757294.
2. What are the Factors of 7826?
Answer: Factors of 7826 are 1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826. There are 16 integers that are factors of 7826. The greatest factor of 7826 is 7826.
3. What are the Factors of 7833?
Answer: Factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833. There are 8 integers that are factors of 7833. The greatest factor of 7833 is 7833.
4. How to Find the LCM of 7826 and 7833?
Answer:
Least Common Multiple of 7826 and 7833 = 8757294
Step 1: Find the prime factorization of 7826
7826 = 2 x 7 x 13 x 43
Step 2: Find the prime factorization of 7833
7833 = 3 x 7 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8757294 = 2 x 3 x 7 x 13 x 43 x 373
Step 4: Therefore, the least common multiple of 7826 and 7833 is 8757294.