Least Common Multiple of 7806 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 7806 and 7813 the smallest integer that is 60988278 that is divisible by both numbers.
Least Common Multiple (LCM) of 7806 and 7813 is 60988278.
LCM(7806,7813) = 60988278
LCM of 7806 and 7813
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7806 and 7813 by Prime method
- Least Common Multiple of 7806 and 7813 with GCF Formula
LCM of 7806 and 7813 is 60988278
Least common multiple can be found by multiplying the highest exponent prime factors of 7806 and 7813. First we will calculate the prime factors of 7806 and 7813.
Prime Factorization of 7806
| 2 | 7806 |
| 3 | 3903 |
| 1301 | 1301 |
| 1 |
Prime factors of 7806 are 2, 3,1301. Prime factorization of 7806 in exponential form is:
7806 = 21×31×13011
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 7806 and 7813.
LCM(7806,7813) = 21×31×131×6011×13011
LCM(7806,7813) = 60988278
Factors of 7806
List of positive integer factors of 7806 that divides 7806 without a remainder.
1, 2, 3, 6, 1301, 2602, 3903, 7806
Factors of 7813
List of positive integer factors of 7813 that divides 7813 without a remainder.
1, 13, 601, 7813
Least Common Multiple of 7806 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 7806 and 7813, than apply into the LCM equation.
GCF(7806,7813) = 1
LCM(7806,7813) = ( 7806 × 7813) / 1
LCM(7806,7813) = 60988278 / 1
LCM(7806,7813) = 60988278
Properties of LCM 7806 and 7813
(i) The LCM of 7813 and 7806 is associative
LCM of 7806 and 7813 = LCM of 7813 and 7806
Related Least Common Multiples of 7806
Related Least Common Multiples of 7813
Frequently Asked Questions on LCM of 7806 and 7813
1. What is the LCM of 7806 and 7813?
Answer: LCM of 7806 and 7813 is 60988278.
2. What are the Factors of 7806?
Answer: Factors of 7806 are 1, 2, 3, 6, 1301, 2602, 3903, 7806. There are 8 integers that are factors of 7806. The greatest factor of 7806 is 7806.
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 7806 and 7813?
Answer:
Least Common Multiple of 7806 and 7813 = 60988278
Step 1: Find the prime factorization of 7806
7806 = 2 x 3 x 1301
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 = 60988278 = 2 x 3 x 13 x 601 x 1301
Step 4: Therefore, the least common multiple of 7806 and 7813 is 60988278.