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 2711 the smallest integer that is 7341388 that is divisible by both numbers.
Least Common Multiple (LCM) of 2708 and 2711 is 7341388.
LCM(2708,2711) = 7341388
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 2711. First we will calculate the prime factors of 2708 and 2711.
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 2711
2711 | 2711 |
1 |
Prime factors of 2711 are 2711. Prime factorization of 2711 in exponential form is:
2711 = 27111
Now multiplying the highest exponent prime factors to calculate the LCM of 2708 and 2711.
LCM(2708,2711) = 22×6771×27111
LCM(2708,2711) = 7341388
Factors of 2708
List of positive integer factors of 2708 that divides 2708 without a remainder.
1, 2, 4, 677, 1354, 2708
Factors of 2711
List of positive integer factors of 2711 that divides 2711 without a remainder.
1, 2711
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2708 and 2711, than apply into the LCM equation.
GCF(2708,2711) = 1
LCM(2708,2711) = ( 2708 × 2711) / 1
LCM(2708,2711) = 7341388 / 1
LCM(2708,2711) = 7341388
(i) The LCM of 2711 and 2708 is associative
LCM of 2708 and 2711 = LCM of 2711 and 2708
1. What is the LCM of 2708 and 2711?
Answer: LCM of 2708 and 2711 is 7341388.
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 2711?
Answer: Factors of 2711 are 1, 2711. There are 2 integers that are factors of 2711. The greatest factor of 2711 is 2711.
4. How to Find the LCM of 2708 and 2711?
Answer:
Least Common Multiple of 2708 and 2711 = 7341388
Step 1: Find the prime factorization of 2708
2708 = 2 x 2 x 677
Step 2: Find the prime factorization of 2711
2711 = 2711
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7341388 = 2 x 2 x 677 x 2711
Step 4: Therefore, the least common multiple of 2708 and 2711 is 7341388.