Least Common Multiple of 7707 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 7707 and 7711 the smallest integer that is 59428677 that is divisible by both numbers.
Least Common Multiple (LCM) of 7707 and 7711 is 59428677.
LCM(7707,7711) = 59428677
LCM of 7707 and 7711
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7707 and 7711 by Prime method
- Least Common Multiple of 7707 and 7711 with GCF Formula
LCM of 7707 and 7711 is 59428677
Least common multiple can be found by multiplying the highest exponent prime factors of 7707 and 7711. First we will calculate the prime factors of 7707 and 7711.
Prime Factorization of 7707
| 3 | 7707 |
| 7 | 2569 |
| 367 | 367 |
| 1 |
Prime factors of 7707 are 3, 7,367. Prime factorization of 7707 in exponential form is:
7707 = 31×71×3671
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 7707 and 7711.
LCM(7707,7711) = 31×71×111×3671×7011
LCM(7707,7711) = 59428677
Factors of 7707
List of positive integer factors of 7707 that divides 7707 without a remainder.
1, 3, 7, 21, 367, 1101, 2569, 7707
Factors of 7711
List of positive integer factors of 7711 that divides 7711 without a remainder.
1, 11, 701, 7711
Least Common Multiple of 7707 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 7707 and 7711, than apply into the LCM equation.
GCF(7707,7711) = 1
LCM(7707,7711) = ( 7707 × 7711) / 1
LCM(7707,7711) = 59428677 / 1
LCM(7707,7711) = 59428677
Properties of LCM 7707 and 7711
(i) The LCM of 7711 and 7707 is associative
LCM of 7707 and 7711 = LCM of 7711 and 7707
Related Least Common Multiples of 7707
Related Least Common Multiples of 7711
Frequently Asked Questions on LCM of 7707 and 7711
1. What is the LCM of 7707 and 7711?
Answer: LCM of 7707 and 7711 is 59428677.
2. What are the Factors of 7707?
Answer: Factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707. There are 8 integers that are factors of 7707. The greatest factor of 7707 is 7707.
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 7707 and 7711?
Answer:
Least Common Multiple of 7707 and 7711 = 59428677
Step 1: Find the prime factorization of 7707
7707 = 3 x 7 x 367
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 = 59428677 = 3 x 7 x 11 x 367 x 701
Step 4: Therefore, the least common multiple of 7707 and 7711 is 59428677.