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 7818 the smallest integer that is 61082034 that is divisible by both numbers.
Least Common Multiple (LCM) of 7813 and 7818 is 61082034.
LCM(7813,7818) = 61082034
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7813 and 7818. First we will calculate the prime factors of 7813 and 7818.
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 7818
2 | 7818 |
3 | 3909 |
1303 | 1303 |
1 |
Prime factors of 7818 are 2, 3,1303. Prime factorization of 7818 in exponential form is:
7818 = 21×31×13031
Now multiplying the highest exponent prime factors to calculate the LCM of 7813 and 7818.
LCM(7813,7818) = 21×31×131×6011×13031
LCM(7813,7818) = 61082034
Factors of 7813
List of positive integer factors of 7813 that divides 7813 without a remainder.
1, 13, 601, 7813
Factors of 7818
List of positive integer factors of 7818 that divides 7818 without a remainder.
1, 2, 3, 6, 1303, 2606, 3909, 7818
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7813 and 7818, than apply into the LCM equation.
GCF(7813,7818) = 1
LCM(7813,7818) = ( 7813 × 7818) / 1
LCM(7813,7818) = 61082034 / 1
LCM(7813,7818) = 61082034
(i) The LCM of 7818 and 7813 is associative
LCM of 7813 and 7818 = LCM of 7818 and 7813
1. What is the LCM of 7813 and 7818?
Answer: LCM of 7813 and 7818 is 61082034.
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 7818?
Answer: Factors of 7818 are 1, 2, 3, 6, 1303, 2606, 3909, 7818. There are 8 integers that are factors of 7818. The greatest factor of 7818 is 7818.
4. How to Find the LCM of 7813 and 7818?
Answer:
Least Common Multiple of 7813 and 7818 = 61082034
Step 1: Find the prime factorization of 7813
7813 = 13 x 601
Step 2: Find the prime factorization of 7818
7818 = 2 x 3 x 1303
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61082034 = 2 x 3 x 13 x 601 x 1303
Step 4: Therefore, the least common multiple of 7813 and 7818 is 61082034.