Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2806 and 2811 the smallest integer that is 7887666 that is divisible by both numbers.
Least Common Multiple (LCM) of 2806 and 2811 is 7887666.
LCM(2806,2811) = 7887666
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 2806 and 2811. First we will calculate the prime factors of 2806 and 2811.
Prime Factorization of 2806
2 | 2806 |
23 | 1403 |
61 | 61 |
1 |
Prime factors of 2806 are 2, 23,61. Prime factorization of 2806 in exponential form is:
2806 = 21×231×611
Prime Factorization of 2811
3 | 2811 |
937 | 937 |
1 |
Prime factors of 2811 are 3,937. Prime factorization of 2811 in exponential form is:
2811 = 31×9371
Now multiplying the highest exponent prime factors to calculate the LCM of 2806 and 2811.
LCM(2806,2811) = 21×31×231×611×9371
LCM(2806,2811) = 7887666
Factors of 2806
List of positive integer factors of 2806 that divides 2806 without a remainder.
1, 2, 23, 46, 61, 122, 1403, 2806
Factors of 2811
List of positive integer factors of 2811 that divides 2811 without a remainder.
1, 3, 937, 2811
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2806 and 2811, than apply into the LCM equation.
GCF(2806,2811) = 1
LCM(2806,2811) = ( 2806 × 2811) / 1
LCM(2806,2811) = 7887666 / 1
LCM(2806,2811) = 7887666
(i) The LCM of 2811 and 2806 is associative
LCM of 2806 and 2811 = LCM of 2811 and 2806
1. What is the LCM of 2806 and 2811?
Answer: LCM of 2806 and 2811 is 7887666.
2. What are the Factors of 2806?
Answer: Factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806. There are 8 integers that are factors of 2806. The greatest factor of 2806 is 2806.
3. What are the Factors of 2811?
Answer: Factors of 2811 are 1, 3, 937, 2811. There are 4 integers that are factors of 2811. The greatest factor of 2811 is 2811.
4. How to Find the LCM of 2806 and 2811?
Answer:
Least Common Multiple of 2806 and 2811 = 7887666
Step 1: Find the prime factorization of 2806
2806 = 2 x 23 x 61
Step 2: Find the prime factorization of 2811
2811 = 3 x 937
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7887666 = 2 x 3 x 23 x 61 x 937
Step 4: Therefore, the least common multiple of 2806 and 2811 is 7887666.