Least Common Multiple of 4053 and 4055
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4053 and 4055 the smallest integer that is 16434915 that is divisible by both numbers.
Least Common Multiple (LCM) of 4053 and 4055 is 16434915.
LCM(4053,4055) = 16434915
LCM of 4053 and 4055
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4053 and 4055 by Prime method
- Least Common Multiple of 4053 and 4055 with GCF Formula
LCM of 4053 and 4055 is 16434915
Least common multiple can be found by multiplying the highest exponent prime factors of 4053 and 4055. First we will calculate the prime factors of 4053 and 4055.
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
Prime Factorization of 4055
| 5 | 4055 |
| 811 | 811 |
| 1 |
Prime factors of 4055 are 5,811. Prime factorization of 4055 in exponential form is:
4055 = 51×8111
Now multiplying the highest exponent prime factors to calculate the LCM of 4053 and 4055.
LCM(4053,4055) = 31×51×71×1931×8111
LCM(4053,4055) = 16434915
Factors of 4053
List of positive integer factors of 4053 that divides 4053 without a remainder.
1, 3, 7, 21, 193, 579, 1351, 4053
Factors of 4055
List of positive integer factors of 4055 that divides 4055 without a remainder.
1, 5, 811, 4055
Least Common Multiple of 4053 and 4055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4053 and 4055, than apply into the LCM equation.
GCF(4053,4055) = 1
LCM(4053,4055) = ( 4053 × 4055) / 1
LCM(4053,4055) = 16434915 / 1
LCM(4053,4055) = 16434915
Properties of LCM 4053 and 4055
(i) The LCM of 4055 and 4053 is associative
LCM of 4053 and 4055 = LCM of 4055 and 4053
Related Least Common Multiples of 4053
Related Least Common Multiples of 4055
Frequently Asked Questions on LCM of 4053 and 4055
1. What is the LCM of 4053 and 4055?
Answer: LCM of 4053 and 4055 is 16434915.
2. 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.
3. What are the Factors of 4055?
Answer: Factors of 4055 are 1, 5, 811, 4055. There are 4 integers that are factors of 4055. The greatest factor of 4055 is 4055.
4. How to Find the LCM of 4053 and 4055?
Answer:
Least Common Multiple of 4053 and 4055 = 16434915
Step 1: Find the prime factorization of 4053
4053 = 3 x 7 x 193
Step 2: Find the prime factorization of 4055
4055 = 5 x 811
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16434915 = 3 x 5 x 7 x 193 x 811
Step 4: Therefore, the least common multiple of 4053 and 4055 is 16434915.