Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2708 and 2713 the smallest integer that is 7346804 that is divisible by both numbers.
Least Common Multiple (LCM) of 2708 and 2713 is 7346804.
LCM(2708,2713) = 7346804
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2708 and 2713. First we will calculate the prime factors of 2708 and 2713.
Prime Factorization of 2708
2 | 2708 |
2 | 1354 |
677 | 677 |
1 |
Prime factors of 2708 are 2,677. Prime factorization of 2708 in exponential form is:
2708 = 22×6771
Prime Factorization of 2713
2713 | 2713 |
1 |
Prime factors of 2713 are 2713. Prime factorization of 2713 in exponential form is:
2713 = 27131
Now multiplying the highest exponent prime factors to calculate the LCM of 2708 and 2713.
LCM(2708,2713) = 22×6771×27131
LCM(2708,2713) = 7346804
Factors of 2708
List of positive integer factors of 2708 that divides 2708 without a remainder.
1, 2, 4, 677, 1354, 2708
Factors of 2713
List of positive integer factors of 2713 that divides 2713 without a remainder.
1, 2713
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2708 and 2713, than apply into the LCM equation.
GCF(2708,2713) = 1
LCM(2708,2713) = ( 2708 × 2713) / 1
LCM(2708,2713) = 7346804 / 1
LCM(2708,2713) = 7346804
(i) The LCM of 2713 and 2708 is associative
LCM of 2708 and 2713 = LCM of 2713 and 2708
1. What is the LCM of 2708 and 2713?
Answer: LCM of 2708 and 2713 is 7346804.
2. What are the Factors of 2708?
Answer: Factors of 2708 are 1, 2, 4, 677, 1354, 2708. There are 6 integers that are factors of 2708. The greatest factor of 2708 is 2708.
3. What are the Factors of 2713?
Answer: Factors of 2713 are 1, 2713. There are 2 integers that are factors of 2713. The greatest factor of 2713 is 2713.
4. How to Find the LCM of 2708 and 2713?
Answer:
Least Common Multiple of 2708 and 2713 = 7346804
Step 1: Find the prime factorization of 2708
2708 = 2 x 2 x 677
Step 2: Find the prime factorization of 2713
2713 = 2713
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7346804 = 2 x 2 x 677 x 2713
Step 4: Therefore, the least common multiple of 2708 and 2713 is 7346804.