Least Common Multiple of 7705 and 7711
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7705 and 7711 the smallest integer that is 59413255 that is divisible by both numbers.
Least Common Multiple (LCM) of 7705 and 7711 is 59413255.
LCM(7705,7711) = 59413255
LCM of 7705 and 7711
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7705 and 7711 by Prime method
- Least Common Multiple of 7705 and 7711 with GCF Formula
LCM of 7705 and 7711 is 59413255
Least common multiple can be found by multiplying the highest exponent prime factors of 7705 and 7711. First we will calculate the prime factors of 7705 and 7711.
Prime Factorization of 7705
| 5 | 7705 |
| 23 | 1541 |
| 67 | 67 |
| 1 |
Prime factors of 7705 are 5, 23,67. Prime factorization of 7705 in exponential form is:
7705 = 51×231×671
Prime Factorization of 7711
| 11 | 7711 |
| 701 | 701 |
| 1 |
Prime factors of 7711 are 11,701. Prime factorization of 7711 in exponential form is:
7711 = 111×7011
Now multiplying the highest exponent prime factors to calculate the LCM of 7705 and 7711.
LCM(7705,7711) = 51×111×231×671×7011
LCM(7705,7711) = 59413255
Factors of 7705
List of positive integer factors of 7705 that divides 7705 without a remainder.
1, 5, 23, 67, 115, 335, 1541, 7705
Factors of 7711
List of positive integer factors of 7711 that divides 7711 without a remainder.
1, 11, 701, 7711
Least Common Multiple of 7705 and 7711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7705 and 7711, than apply into the LCM equation.
GCF(7705,7711) = 1
LCM(7705,7711) = ( 7705 × 7711) / 1
LCM(7705,7711) = 59413255 / 1
LCM(7705,7711) = 59413255
Properties of LCM 7705 and 7711
(i) The LCM of 7711 and 7705 is associative
LCM of 7705 and 7711 = LCM of 7711 and 7705
Related Least Common Multiples of 7705
Related Least Common Multiples of 7711
Frequently Asked Questions on LCM of 7705 and 7711
1. What is the LCM of 7705 and 7711?
Answer: LCM of 7705 and 7711 is 59413255.
2. What are the Factors of 7705?
Answer: Factors of 7705 are 1, 5, 23, 67, 115, 335, 1541, 7705. There are 8 integers that are factors of 7705. The greatest factor of 7705 is 7705.
3. What are the Factors of 7711?
Answer: Factors of 7711 are 1, 11, 701, 7711. There are 4 integers that are factors of 7711. The greatest factor of 7711 is 7711.
4. How to Find the LCM of 7705 and 7711?
Answer:
Least Common Multiple of 7705 and 7711 = 59413255
Step 1: Find the prime factorization of 7705
7705 = 5 x 23 x 67
Step 2: Find the prime factorization of 7711
7711 = 11 x 701
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59413255 = 5 x 11 x 23 x 67 x 701
Step 4: Therefore, the least common multiple of 7705 and 7711 is 59413255.