Least Common Multiple of 7805 and 7813
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7805 and 7813 the smallest integer that is 60980465 that is divisible by both numbers.
Least Common Multiple (LCM) of 7805 and 7813 is 60980465.
LCM(7805,7813) = 60980465
LCM of 7805 and 7813
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7805 and 7813 by Prime method
- Least Common Multiple of 7805 and 7813 with GCF Formula
LCM of 7805 and 7813 is 60980465
Least common multiple can be found by multiplying the highest exponent prime factors of 7805 and 7813. First we will calculate the prime factors of 7805 and 7813.
Prime Factorization of 7805
| 5 | 7805 |
| 7 | 1561 |
| 223 | 223 |
| 1 |
Prime factors of 7805 are 5, 7,223. Prime factorization of 7805 in exponential form is:
7805 = 51×71×2231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7805 and 7813.
LCM(7805,7813) = 51×71×131×2231×6011
LCM(7805,7813) = 60980465
Factors of 7805
List of positive integer factors of 7805 that divides 7805 without a remainder.
1, 5, 7, 35, 223, 1115, 1561, 7805
Factors of 7813
List of positive integer factors of 7813 that divides 7813 without a remainder.
1, 13, 601, 7813
Least Common Multiple of 7805 and 7813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7805 and 7813, than apply into the LCM equation.
GCF(7805,7813) = 1
LCM(7805,7813) = ( 7805 × 7813) / 1
LCM(7805,7813) = 60980465 / 1
LCM(7805,7813) = 60980465
Properties of LCM 7805 and 7813
(i) The LCM of 7813 and 7805 is associative
LCM of 7805 and 7813 = LCM of 7813 and 7805
Related Least Common Multiples of 7805
Related Least Common Multiples of 7813
Frequently Asked Questions on LCM of 7805 and 7813
1. What is the LCM of 7805 and 7813?
Answer: LCM of 7805 and 7813 is 60980465.
2. What are the Factors of 7805?
Answer: Factors of 7805 are 1, 5, 7, 35, 223, 1115, 1561, 7805. There are 8 integers that are factors of 7805. The greatest factor of 7805 is 7805.
3. 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.
4. How to Find the LCM of 7805 and 7813?
Answer:
Least Common Multiple of 7805 and 7813 = 60980465
Step 1: Find the prime factorization of 7805
7805 = 5 x 7 x 223
Step 2: Find the prime factorization of 7813
7813 = 13 x 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 60980465 = 5 x 7 x 13 x 223 x 601
Step 4: Therefore, the least common multiple of 7805 and 7813 is 60980465.