Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2067 and 2073 the smallest integer that is 1428297 that is divisible by both numbers.
Least Common Multiple (LCM) of 2067 and 2073 is 1428297.
LCM(2067,2073) = 1428297
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 2067 and 2073. First we will calculate the prime factors of 2067 and 2073.
Prime Factorization of 2067
3 | 2067 |
13 | 689 |
53 | 53 |
1 |
Prime factors of 2067 are 3, 13,53. Prime factorization of 2067 in exponential form is:
2067 = 31×131×531
Prime Factorization of 2073
3 | 2073 |
691 | 691 |
1 |
Prime factors of 2073 are 3,691. Prime factorization of 2073 in exponential form is:
2073 = 31×6911
Now multiplying the highest exponent prime factors to calculate the LCM of 2067 and 2073.
LCM(2067,2073) = 31×131×531×6911
LCM(2067,2073) = 1428297
Factors of 2067
List of positive integer factors of 2067 that divides 2067 without a remainder.
1, 3, 13, 39, 53, 159, 689, 2067
Factors of 2073
List of positive integer factors of 2073 that divides 2073 without a remainder.
1, 3, 691, 2073
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2067 and 2073, than apply into the LCM equation.
GCF(2067,2073) = 3
LCM(2067,2073) = ( 2067 × 2073) / 3
LCM(2067,2073) = 4284891 / 3
LCM(2067,2073) = 1428297
(i) The LCM of 2073 and 2067 is associative
LCM of 2067 and 2073 = LCM of 2073 and 2067
1. What is the LCM of 2067 and 2073?
Answer: LCM of 2067 and 2073 is 1428297.
2. What are the Factors of 2067?
Answer: Factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067. There are 8 integers that are factors of 2067. The greatest factor of 2067 is 2067.
3. What are the Factors of 2073?
Answer: Factors of 2073 are 1, 3, 691, 2073. There are 4 integers that are factors of 2073. The greatest factor of 2073 is 2073.
4. How to Find the LCM of 2067 and 2073?
Answer:
Least Common Multiple of 2067 and 2073 = 1428297
Step 1: Find the prime factorization of 2067
2067 = 3 x 13 x 53
Step 2: Find the prime factorization of 2073
2073 = 3 x 691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1428297 = 3 x 13 x 53 x 691
Step 4: Therefore, the least common multiple of 2067 and 2073 is 1428297.