Least Common Multiple of 7811 and 7815
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 7815 the smallest integer that is 61042965 that is divisible by both numbers.
Least Common Multiple (LCM) of 7811 and 7815 is 61042965.
LCM(7811,7815) = 61042965
LCM of 7811 and 7815
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7811 and 7815 by Prime method
- Least Common Multiple of 7811 and 7815 with GCF Formula
LCM of 7811 and 7815 is 61042965
Least common multiple can be found by multiplying the highest exponent prime factors of 7811 and 7815. First we will calculate the prime factors of 7811 and 7815.
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 7815
| 3 | 7815 |
| 5 | 2605 |
| 521 | 521 |
| 1 |
Prime factors of 7815 are 3, 5,521. Prime factorization of 7815 in exponential form is:
7815 = 31×51×5211
Now multiplying the highest exponent prime factors to calculate the LCM of 7811 and 7815.
LCM(7811,7815) = 31×51×731×1071×5211
LCM(7811,7815) = 61042965
Factors of 7811
List of positive integer factors of 7811 that divides 7811 without a remainder.
1, 73, 107, 7811
Factors of 7815
List of positive integer factors of 7815 that divides 7815 without a remainder.
1, 3, 5, 15, 521, 1563, 2605, 7815
Least Common Multiple of 7811 and 7815 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 7815, than apply into the LCM equation.
GCF(7811,7815) = 1
LCM(7811,7815) = ( 7811 × 7815) / 1
LCM(7811,7815) = 61042965 / 1
LCM(7811,7815) = 61042965
Properties of LCM 7811 and 7815
(i) The LCM of 7815 and 7811 is associative
LCM of 7811 and 7815 = LCM of 7815 and 7811
Related Least Common Multiples of 7811
Related Least Common Multiples of 7815
Frequently Asked Questions on LCM of 7811 and 7815
1. What is the LCM of 7811 and 7815?
Answer: LCM of 7811 and 7815 is 61042965.
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 7815?
Answer: Factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815. There are 8 integers that are factors of 7815. The greatest factor of 7815 is 7815.
4. How to Find the LCM of 7811 and 7815?
Answer:
Least Common Multiple of 7811 and 7815 = 61042965
Step 1: Find the prime factorization of 7811
7811 = 73 x 107
Step 2: Find the prime factorization of 7815
7815 = 3 x 5 x 521
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61042965 = 3 x 5 x 73 x 107 x 521
Step 4: Therefore, the least common multiple of 7811 and 7815 is 61042965.