Least Common Multiple of 7813 and 7819
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7813 and 7819 the smallest integer that is 61089847 that is divisible by both numbers.
Least Common Multiple (LCM) of 7813 and 7819 is 61089847.
LCM(7813,7819) = 61089847
LCM of 7813 and 7819
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7813 and 7819 by Prime method
- Least Common Multiple of 7813 and 7819 with GCF Formula
LCM of 7813 and 7819 is 61089847
Least common multiple can be found by multiplying the highest exponent prime factors of 7813 and 7819. First we will calculate the prime factors of 7813 and 7819.
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
Prime Factorization of 7819
| 7 | 7819 |
| 1117 | 1117 |
| 1 |
Prime factors of 7819 are 7,1117. Prime factorization of 7819 in exponential form is:
7819 = 71×11171
Now multiplying the highest exponent prime factors to calculate the LCM of 7813 and 7819.
LCM(7813,7819) = 71×131×6011×11171
LCM(7813,7819) = 61089847
Factors of 7813
List of positive integer factors of 7813 that divides 7813 without a remainder.
1, 13, 601, 7813
Factors of 7819
List of positive integer factors of 7819 that divides 7819 without a remainder.
1, 7, 1117, 7819
Least Common Multiple of 7813 and 7819 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7813 and 7819, than apply into the LCM equation.
GCF(7813,7819) = 1
LCM(7813,7819) = ( 7813 × 7819) / 1
LCM(7813,7819) = 61089847 / 1
LCM(7813,7819) = 61089847
Properties of LCM 7813 and 7819
(i) The LCM of 7819 and 7813 is associative
LCM of 7813 and 7819 = LCM of 7819 and 7813
Related Least Common Multiples of 7813
Related Least Common Multiples of 7819
Frequently Asked Questions on LCM of 7813 and 7819
1. What is the LCM of 7813 and 7819?
Answer: LCM of 7813 and 7819 is 61089847.
2. 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.
3. What are the Factors of 7819?
Answer: Factors of 7819 are 1, 7, 1117, 7819. There are 4 integers that are factors of 7819. The greatest factor of 7819 is 7819.
4. How to Find the LCM of 7813 and 7819?
Answer:
Least Common Multiple of 7813 and 7819 = 61089847
Step 1: Find the prime factorization of 7813
7813 = 13 x 601
Step 2: Find the prime factorization of 7819
7819 = 7 x 1117
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61089847 = 7 x 13 x 601 x 1117
Step 4: Therefore, the least common multiple of 7813 and 7819 is 61089847.