Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2068 and 2071 the smallest integer that is 4282828 that is divisible by both numbers.
Least Common Multiple (LCM) of 2068 and 2071 is 4282828.
LCM(2068,2071) = 4282828
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 2068 and 2071. First we will calculate the prime factors of 2068 and 2071.
Prime Factorization of 2068
2 | 2068 |
2 | 1034 |
11 | 517 |
47 | 47 |
1 |
Prime factors of 2068 are 2, 11,47. Prime factorization of 2068 in exponential form is:
2068 = 22×111×471
Prime Factorization of 2071
19 | 2071 |
109 | 109 |
1 |
Prime factors of 2071 are 19,109. Prime factorization of 2071 in exponential form is:
2071 = 191×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 2068 and 2071.
LCM(2068,2071) = 22×111×191×471×1091
LCM(2068,2071) = 4282828
Factors of 2068
List of positive integer factors of 2068 that divides 2068 without a remainder.
1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068
Factors of 2071
List of positive integer factors of 2071 that divides 2071 without a remainder.
1, 19, 109, 2071
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2068 and 2071, than apply into the LCM equation.
GCF(2068,2071) = 1
LCM(2068,2071) = ( 2068 × 2071) / 1
LCM(2068,2071) = 4282828 / 1
LCM(2068,2071) = 4282828
(i) The LCM of 2071 and 2068 is associative
LCM of 2068 and 2071 = LCM of 2071 and 2068
1. What is the LCM of 2068 and 2071?
Answer: LCM of 2068 and 2071 is 4282828.
2. What are the Factors of 2068?
Answer: Factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068. There are 12 integers that are factors of 2068. The greatest factor of 2068 is 2068.
3. What are the Factors of 2071?
Answer: Factors of 2071 are 1, 19, 109, 2071. There are 4 integers that are factors of 2071. The greatest factor of 2071 is 2071.
4. How to Find the LCM of 2068 and 2071?
Answer:
Least Common Multiple of 2068 and 2071 = 4282828
Step 1: Find the prime factorization of 2068
2068 = 2 x 2 x 11 x 47
Step 2: Find the prime factorization of 2071
2071 = 19 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4282828 = 2 x 2 x 11 x 19 x 47 x 109
Step 4: Therefore, the least common multiple of 2068 and 2071 is 4282828.