Least Common Multiple of 7708 and 7713
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7708 and 7713 the smallest integer that is 59451804 that is divisible by both numbers.
Least Common Multiple (LCM) of 7708 and 7713 is 59451804.
LCM(7708,7713) = 59451804
LCM of 7708 and 7713
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7708 and 7713 by Prime method
- Least Common Multiple of 7708 and 7713 with GCF Formula
LCM of 7708 and 7713 is 59451804
Least common multiple can be found by multiplying the highest exponent prime factors of 7708 and 7713. First we will calculate the prime factors of 7708 and 7713.
Prime Factorization of 7708
| 2 | 7708 |
| 2 | 3854 |
| 41 | 1927 |
| 47 | 47 |
| 1 |
Prime factors of 7708 are 2, 41,47. Prime factorization of 7708 in exponential form is:
7708 = 22×411×471
Prime Factorization of 7713
| 3 | 7713 |
| 3 | 2571 |
| 857 | 857 |
| 1 |
Prime factors of 7713 are 3,857. Prime factorization of 7713 in exponential form is:
7713 = 32×8571
Now multiplying the highest exponent prime factors to calculate the LCM of 7708 and 7713.
LCM(7708,7713) = 22×32×411×471×8571
LCM(7708,7713) = 59451804
Factors of 7708
List of positive integer factors of 7708 that divides 7708 without a remainder.
1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708
Factors of 7713
List of positive integer factors of 7713 that divides 7713 without a remainder.
1, 3, 9, 857, 2571, 7713
Least Common Multiple of 7708 and 7713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7708 and 7713, than apply into the LCM equation.
GCF(7708,7713) = 1
LCM(7708,7713) = ( 7708 × 7713) / 1
LCM(7708,7713) = 59451804 / 1
LCM(7708,7713) = 59451804
Properties of LCM 7708 and 7713
(i) The LCM of 7713 and 7708 is associative
LCM of 7708 and 7713 = LCM of 7713 and 7708
Related Least Common Multiples of 7708
Related Least Common Multiples of 7713
Frequently Asked Questions on LCM of 7708 and 7713
1. What is the LCM of 7708 and 7713?
Answer: LCM of 7708 and 7713 is 59451804.
2. What are the Factors of 7708?
Answer: Factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708. There are 12 integers that are factors of 7708. The greatest factor of 7708 is 7708.
3. What are the Factors of 7713?
Answer: Factors of 7713 are 1, 3, 9, 857, 2571, 7713. There are 6 integers that are factors of 7713. The greatest factor of 7713 is 7713.
4. How to Find the LCM of 7708 and 7713?
Answer:
Least Common Multiple of 7708 and 7713 = 59451804
Step 1: Find the prime factorization of 7708
7708 = 2 x 2 x 41 x 47
Step 2: Find the prime factorization of 7713
7713 = 3 x 3 x 857
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59451804 = 2 x 2 x 3 x 3 x 41 x 47 x 857
Step 4: Therefore, the least common multiple of 7708 and 7713 is 59451804.