Least Common Multiple of 2046 and 2053
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2046 and 2053 the smallest integer that is 4200438 that is divisible by both numbers.
Least Common Multiple (LCM) of 2046 and 2053 is 4200438.
LCM(2046,2053) = 4200438
LCM of 2046 and 2053
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2046 and 2053 by Prime method
- Least Common Multiple of 2046 and 2053 with GCF Formula
LCM of 2046 and 2053 is 4200438
Least common multiple can be found by multiplying the highest exponent prime factors of 2046 and 2053. First we will calculate the prime factors of 2046 and 2053.
Prime Factorization of 2046
| 2 | 2046 |
| 3 | 1023 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 2046 are 2, 3, 11,31. Prime factorization of 2046 in exponential form is:
2046 = 21×31×111×311
Prime Factorization of 2053
| 2053 | 2053 |
| 1 |
Prime factors of 2053 are 2053. Prime factorization of 2053 in exponential form is:
2053 = 20531
Now multiplying the highest exponent prime factors to calculate the LCM of 2046 and 2053.
LCM(2046,2053) = 21×31×111×311×20531
LCM(2046,2053) = 4200438
Factors of 2046
List of positive integer factors of 2046 that divides 2046 without a remainder.
1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 2046
Factors of 2053
List of positive integer factors of 2053 that divides 2053 without a remainder.
1, 2053
Least Common Multiple of 2046 and 2053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2046 and 2053, than apply into the LCM equation.
GCF(2046,2053) = 1
LCM(2046,2053) = ( 2046 × 2053) / 1
LCM(2046,2053) = 4200438 / 1
LCM(2046,2053) = 4200438
Properties of LCM 2046 and 2053
(i) The LCM of 2053 and 2046 is associative
LCM of 2046 and 2053 = LCM of 2053 and 2046
Related Least Common Multiples of 2046
Related Least Common Multiples of 2053
Frequently Asked Questions on LCM of 2046 and 2053
1. What is the LCM of 2046 and 2053?
Answer: LCM of 2046 and 2053 is 4200438.
2. What are the Factors of 2046?
Answer: Factors of 2046 are 1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 2046. There are 16 integers that are factors of 2046. The greatest factor of 2046 is 2046.
3. What are the Factors of 2053?
Answer: Factors of 2053 are 1, 2053. There are 2 integers that are factors of 2053. The greatest factor of 2053 is 2053.
4. How to Find the LCM of 2046 and 2053?
Answer:
Least Common Multiple of 2046 and 2053 = 4200438
Step 1: Find the prime factorization of 2046
2046 = 2 x 3 x 11 x 31
Step 2: Find the prime factorization of 2053
2053 = 2053
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4200438 = 2 x 3 x 11 x 31 x 2053
Step 4: Therefore, the least common multiple of 2046 and 2053 is 4200438.