Least Common Multiple of 7828 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 7828 and 7833 the smallest integer that is 61316724 that is divisible by both numbers.
Least Common Multiple (LCM) of 7828 and 7833 is 61316724.
LCM(7828,7833) = 61316724
LCM of 7828 and 7833
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7828 and 7833 by Prime method
- Least Common Multiple of 7828 and 7833 with GCF Formula
LCM of 7828 and 7833 is 61316724
Least common multiple can be found by multiplying the highest exponent prime factors of 7828 and 7833. First we will calculate the prime factors of 7828 and 7833.
Prime Factorization of 7828
| 2 | 7828 |
| 2 | 3914 |
| 19 | 1957 |
| 103 | 103 |
| 1 |
Prime factors of 7828 are 2, 19,103. Prime factorization of 7828 in exponential form is:
7828 = 22×191×1031
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 7828 and 7833.
LCM(7828,7833) = 22×31×71×191×1031×3731
LCM(7828,7833) = 61316724
Factors of 7828
List of positive integer factors of 7828 that divides 7828 without a remainder.
1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914, 7828
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 7828 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 7828 and 7833, than apply into the LCM equation.
GCF(7828,7833) = 1
LCM(7828,7833) = ( 7828 × 7833) / 1
LCM(7828,7833) = 61316724 / 1
LCM(7828,7833) = 61316724
Properties of LCM 7828 and 7833
(i) The LCM of 7833 and 7828 is associative
LCM of 7828 and 7833 = LCM of 7833 and 7828
Related Least Common Multiples of 7828
Related Least Common Multiples of 7833
Frequently Asked Questions on LCM of 7828 and 7833
1. What is the LCM of 7828 and 7833?
Answer: LCM of 7828 and 7833 is 61316724.
2. What are the Factors of 7828?
Answer: Factors of 7828 are 1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914, 7828. There are 12 integers that are factors of 7828. The greatest factor of 7828 is 7828.
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 7828 and 7833?
Answer:
Least Common Multiple of 7828 and 7833 = 61316724
Step 1: Find the prime factorization of 7828
7828 = 2 x 2 x 19 x 103
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 = 61316724 = 2 x 2 x 3 x 7 x 19 x 103 x 373
Step 4: Therefore, the least common multiple of 7828 and 7833 is 61316724.