Least Common Multiple of 7820 and 7827
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7820 and 7827 the smallest integer that is 61207140 that is divisible by both numbers.
Least Common Multiple (LCM) of 7820 and 7827 is 61207140.
LCM(7820,7827) = 61207140
LCM of 7820 and 7827
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7820 and 7827 by Prime method
- Least Common Multiple of 7820 and 7827 with GCF Formula
LCM of 7820 and 7827 is 61207140
Least common multiple can be found by multiplying the highest exponent prime factors of 7820 and 7827. First we will calculate the prime factors of 7820 and 7827.
Prime Factorization of 7820
| 2 | 7820 |
| 2 | 3910 |
| 5 | 1955 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 7820 are 2, 5, 17,23. Prime factorization of 7820 in exponential form is:
7820 = 22×51×171×231
Prime Factorization of 7827
| 3 | 7827 |
| 2609 | 2609 |
| 1 |
Prime factors of 7827 are 3,2609. Prime factorization of 7827 in exponential form is:
7827 = 31×26091
Now multiplying the highest exponent prime factors to calculate the LCM of 7820 and 7827.
LCM(7820,7827) = 22×31×51×171×231×26091
LCM(7820,7827) = 61207140
Factors of 7820
List of positive integer factors of 7820 that divides 7820 without a remainder.
1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820
Factors of 7827
List of positive integer factors of 7827 that divides 7827 without a remainder.
1, 3, 2609, 7827
Least Common Multiple of 7820 and 7827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7820 and 7827, than apply into the LCM equation.
GCF(7820,7827) = 1
LCM(7820,7827) = ( 7820 × 7827) / 1
LCM(7820,7827) = 61207140 / 1
LCM(7820,7827) = 61207140
Properties of LCM 7820 and 7827
(i) The LCM of 7827 and 7820 is associative
LCM of 7820 and 7827 = LCM of 7827 and 7820
Related Least Common Multiples of 7820
Related Least Common Multiples of 7827
Frequently Asked Questions on LCM of 7820 and 7827
1. What is the LCM of 7820 and 7827?
Answer: LCM of 7820 and 7827 is 61207140.
2. What are the Factors of 7820?
Answer: Factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820. There are 24 integers that are factors of 7820. The greatest factor of 7820 is 7820.
3. What are the Factors of 7827?
Answer: Factors of 7827 are 1, 3, 2609, 7827. There are 4 integers that are factors of 7827. The greatest factor of 7827 is 7827.
4. How to Find the LCM of 7820 and 7827?
Answer:
Least Common Multiple of 7820 and 7827 = 61207140
Step 1: Find the prime factorization of 7820
7820 = 2 x 2 x 5 x 17 x 23
Step 2: Find the prime factorization of 7827
7827 = 3 x 2609
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61207140 = 2 x 2 x 3 x 5 x 17 x 23 x 2609
Step 4: Therefore, the least common multiple of 7820 and 7827 is 61207140.