Least Common Multiple of 2073 and 2075
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2073 and 2075 the smallest integer that is 4301475 that is divisible by both numbers.
Least Common Multiple (LCM) of 2073 and 2075 is 4301475.
LCM(2073,2075) = 4301475
LCM of 2073 and 2075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2073 and 2075 by Prime method
- Least Common Multiple of 2073 and 2075 with GCF Formula
LCM of 2073 and 2075 is 4301475
Least common multiple can be found by multiplying the highest exponent prime factors of 2073 and 2075. First we will calculate the prime factors of 2073 and 2075.
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
Prime Factorization of 2075
| 5 | 2075 |
| 5 | 415 |
| 83 | 83 |
| 1 |
Prime factors of 2075 are 5,83. Prime factorization of 2075 in exponential form is:
2075 = 52×831
Now multiplying the highest exponent prime factors to calculate the LCM of 2073 and 2075.
LCM(2073,2075) = 31×52×831×6911
LCM(2073,2075) = 4301475
Factors of 2073
List of positive integer factors of 2073 that divides 2073 without a remainder.
1, 3, 691, 2073
Factors of 2075
List of positive integer factors of 2075 that divides 2075 without a remainder.
1, 5, 25, 83, 415, 2075
Least Common Multiple of 2073 and 2075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2073 and 2075, than apply into the LCM equation.
GCF(2073,2075) = 1
LCM(2073,2075) = ( 2073 × 2075) / 1
LCM(2073,2075) = 4301475 / 1
LCM(2073,2075) = 4301475
Properties of LCM 2073 and 2075
(i) The LCM of 2075 and 2073 is associative
LCM of 2073 and 2075 = LCM of 2075 and 2073
Related Least Common Multiples of 2073
Related Least Common Multiples of 2075
Frequently Asked Questions on LCM of 2073 and 2075
1. What is the LCM of 2073 and 2075?
Answer: LCM of 2073 and 2075 is 4301475.
2. 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.
3. What are the Factors of 2075?
Answer: Factors of 2075 are 1, 5, 25, 83, 415, 2075. There are 6 integers that are factors of 2075. The greatest factor of 2075 is 2075.
4. How to Find the LCM of 2073 and 2075?
Answer:
Least Common Multiple of 2073 and 2075 = 4301475
Step 1: Find the prime factorization of 2073
2073 = 3 x 691
Step 2: Find the prime factorization of 2075
2075 = 5 x 5 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4301475 = 3 x 5 x 5 x 83 x 691
Step 4: Therefore, the least common multiple of 2073 and 2075 is 4301475.