Least Common Multiple of 7811 and 7818
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7811 and 7818 the smallest integer that is 61066398 that is divisible by both numbers.
Least Common Multiple (LCM) of 7811 and 7818 is 61066398.
LCM(7811,7818) = 61066398
LCM of 7811 and 7818
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7811 and 7818 by Prime method
- Least Common Multiple of 7811 and 7818 with GCF Formula
LCM of 7811 and 7818 is 61066398
Least common multiple can be found by multiplying the highest exponent prime factors of 7811 and 7818. First we will calculate the prime factors of 7811 and 7818.
Prime Factorization of 7811
| 73 | 7811 |
| 107 | 107 |
| 1 |
Prime factors of 7811 are 73,107. Prime factorization of 7811 in exponential form is:
7811 = 731×1071
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 7811 and 7818.
LCM(7811,7818) = 21×31×731×1071×13031
LCM(7811,7818) = 61066398
Factors of 7811
List of positive integer factors of 7811 that divides 7811 without a remainder.
1, 73, 107, 7811
Factors of 7818
List of positive integer factors of 7818 that divides 7818 without a remainder.
1, 2, 3, 6, 1303, 2606, 3909, 7818
Least Common Multiple of 7811 and 7818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7811 and 7818, than apply into the LCM equation.
GCF(7811,7818) = 1
LCM(7811,7818) = ( 7811 × 7818) / 1
LCM(7811,7818) = 61066398 / 1
LCM(7811,7818) = 61066398
Properties of LCM 7811 and 7818
(i) The LCM of 7818 and 7811 is associative
LCM of 7811 and 7818 = LCM of 7818 and 7811
Related Least Common Multiples of 7811
Related Least Common Multiples of 7818
Frequently Asked Questions on LCM of 7811 and 7818
1. What is the LCM of 7811 and 7818?
Answer: LCM of 7811 and 7818 is 61066398.
2. What are the Factors of 7811?
Answer: Factors of 7811 are 1, 73, 107, 7811. There are 4 integers that are factors of 7811. The greatest factor of 7811 is 7811.
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 7811 and 7818?
Answer:
Least Common Multiple of 7811 and 7818 = 61066398
Step 1: Find the prime factorization of 7811
7811 = 73 x 107
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 = 61066398 = 2 x 3 x 73 x 107 x 1303
Step 4: Therefore, the least common multiple of 7811 and 7818 is 61066398.