Least Common Multiple of 7835 and 7843
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7835 and 7843 the smallest integer that is 61449905 that is divisible by both numbers.
Least Common Multiple (LCM) of 7835 and 7843 is 61449905.
LCM(7835,7843) = 61449905
LCM of 7835 and 7843
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7835 and 7843 by Prime method
- Least Common Multiple of 7835 and 7843 with GCF Formula
LCM of 7835 and 7843 is 61449905
Least common multiple can be found by multiplying the highest exponent prime factors of 7835 and 7843. First we will calculate the prime factors of 7835 and 7843.
Prime Factorization of 7835
| 5 | 7835 |
| 1567 | 1567 |
| 1 |
Prime factors of 7835 are 5,1567. Prime factorization of 7835 in exponential form is:
7835 = 51×15671
Prime Factorization of 7843
| 11 | 7843 |
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 7843 are 11, 23,31. Prime factorization of 7843 in exponential form is:
7843 = 111×231×311
Now multiplying the highest exponent prime factors to calculate the LCM of 7835 and 7843.
LCM(7835,7843) = 51×111×231×311×15671
LCM(7835,7843) = 61449905
Factors of 7835
List of positive integer factors of 7835 that divides 7835 without a remainder.
1, 5, 1567, 7835
Factors of 7843
List of positive integer factors of 7843 that divides 7843 without a remainder.
1, 11, 23, 31, 253, 341, 713, 7843
Least Common Multiple of 7835 and 7843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7835 and 7843, than apply into the LCM equation.
GCF(7835,7843) = 1
LCM(7835,7843) = ( 7835 × 7843) / 1
LCM(7835,7843) = 61449905 / 1
LCM(7835,7843) = 61449905
Properties of LCM 7835 and 7843
(i) The LCM of 7843 and 7835 is associative
LCM of 7835 and 7843 = LCM of 7843 and 7835
Related Least Common Multiples of 7835
Related Least Common Multiples of 7843
Frequently Asked Questions on LCM of 7835 and 7843
1. What is the LCM of 7835 and 7843?
Answer: LCM of 7835 and 7843 is 61449905.
2. What are the Factors of 7835?
Answer: Factors of 7835 are 1, 5, 1567, 7835. There are 4 integers that are factors of 7835. The greatest factor of 7835 is 7835.
3. What are the Factors of 7843?
Answer: Factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843. There are 8 integers that are factors of 7843. The greatest factor of 7843 is 7843.
4. How to Find the LCM of 7835 and 7843?
Answer:
Least Common Multiple of 7835 and 7843 = 61449905
Step 1: Find the prime factorization of 7835
7835 = 5 x 1567
Step 2: Find the prime factorization of 7843
7843 = 11 x 23 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61449905 = 5 x 11 x 23 x 31 x 1567
Step 4: Therefore, the least common multiple of 7835 and 7843 is 61449905.