Least Common Multiple of 4046 and 4053
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4046 and 4053 the smallest integer that is 2342634 that is divisible by both numbers.
Least Common Multiple (LCM) of 4046 and 4053 is 2342634.
LCM(4046,4053) = 2342634
LCM of 4046 and 4053
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4046 and 4053 by Prime method
- Least Common Multiple of 4046 and 4053 with GCF Formula
LCM of 4046 and 4053 is 2342634
Least common multiple can be found by multiplying the highest exponent prime factors of 4046 and 4053. First we will calculate the prime factors of 4046 and 4053.
Prime Factorization of 4046
| 2 | 4046 |
| 7 | 2023 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 4046 are 2, 7,17. Prime factorization of 4046 in exponential form is:
4046 = 21×71×172
Prime Factorization of 4053
| 3 | 4053 |
| 7 | 1351 |
| 193 | 193 |
| 1 |
Prime factors of 4053 are 3, 7,193. Prime factorization of 4053 in exponential form is:
4053 = 31×71×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 4046 and 4053.
LCM(4046,4053) = 21×31×71×172×1931
LCM(4046,4053) = 2342634
Factors of 4046
List of positive integer factors of 4046 that divides 4046 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046
Factors of 4053
List of positive integer factors of 4053 that divides 4053 without a remainder.
1, 3, 7, 21, 193, 579, 1351, 4053
Least Common Multiple of 4046 and 4053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4046 and 4053, than apply into the LCM equation.
GCF(4046,4053) = 7
LCM(4046,4053) = ( 4046 × 4053) / 7
LCM(4046,4053) = 16398438 / 7
LCM(4046,4053) = 2342634
Properties of LCM 4046 and 4053
(i) The LCM of 4053 and 4046 is associative
LCM of 4046 and 4053 = LCM of 4053 and 4046
Related Least Common Multiples of 4046
Related Least Common Multiples of 4053
Frequently Asked Questions on LCM of 4046 and 4053
1. What is the LCM of 4046 and 4053?
Answer: LCM of 4046 and 4053 is 2342634.
2. What are the Factors of 4046?
Answer: Factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046. There are 12 integers that are factors of 4046. The greatest factor of 4046 is 4046.
3. What are the Factors of 4053?
Answer: Factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053. There are 8 integers that are factors of 4053. The greatest factor of 4053 is 4053.
4. How to Find the LCM of 4046 and 4053?
Answer:
Least Common Multiple of 4046 and 4053 = 2342634
Step 1: Find the prime factorization of 4046
4046 = 2 x 7 x 17 x 17
Step 2: Find the prime factorization of 4053
4053 = 3 x 7 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2342634 = 2 x 3 x 7 x 17 x 17 x 193
Step 4: Therefore, the least common multiple of 4046 and 4053 is 2342634.