Least Common Multiple of 4035 and 4043
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4035 and 4043 the smallest integer that is 16313505 that is divisible by both numbers.
Least Common Multiple (LCM) of 4035 and 4043 is 16313505.
LCM(4035,4043) = 16313505
LCM of 4035 and 4043
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4035 and 4043 by Prime method
- Least Common Multiple of 4035 and 4043 with GCF Formula
LCM of 4035 and 4043 is 16313505
Least common multiple can be found by multiplying the highest exponent prime factors of 4035 and 4043. First we will calculate the prime factors of 4035 and 4043.
Prime Factorization of 4035
| 3 | 4035 |
| 5 | 1345 |
| 269 | 269 |
| 1 |
Prime factors of 4035 are 3, 5,269. Prime factorization of 4035 in exponential form is:
4035 = 31×51×2691
Prime Factorization of 4043
| 13 | 4043 |
| 311 | 311 |
| 1 |
Prime factors of 4043 are 13,311. Prime factorization of 4043 in exponential form is:
4043 = 131×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 4035 and 4043.
LCM(4035,4043) = 31×51×131×2691×3111
LCM(4035,4043) = 16313505
Factors of 4035
List of positive integer factors of 4035 that divides 4035 without a remainder.
1, 3, 5, 15, 269, 807, 1345, 4035
Factors of 4043
List of positive integer factors of 4043 that divides 4043 without a remainder.
1, 13, 311, 4043
Least Common Multiple of 4035 and 4043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4035 and 4043, than apply into the LCM equation.
GCF(4035,4043) = 1
LCM(4035,4043) = ( 4035 × 4043) / 1
LCM(4035,4043) = 16313505 / 1
LCM(4035,4043) = 16313505
Properties of LCM 4035 and 4043
(i) The LCM of 4043 and 4035 is associative
LCM of 4035 and 4043 = LCM of 4043 and 4035
Related Least Common Multiples of 4035
Related Least Common Multiples of 4043
Frequently Asked Questions on LCM of 4035 and 4043
1. What is the LCM of 4035 and 4043?
Answer: LCM of 4035 and 4043 is 16313505.
2. What are the Factors of 4035?
Answer: Factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035. There are 8 integers that are factors of 4035. The greatest factor of 4035 is 4035.
3. What are the Factors of 4043?
Answer: Factors of 4043 are 1, 13, 311, 4043. There are 4 integers that are factors of 4043. The greatest factor of 4043 is 4043.
4. How to Find the LCM of 4035 and 4043?
Answer:
Least Common Multiple of 4035 and 4043 = 16313505
Step 1: Find the prime factorization of 4035
4035 = 3 x 5 x 269
Step 2: Find the prime factorization of 4043
4043 = 13 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16313505 = 3 x 5 x 13 x 269 x 311
Step 4: Therefore, the least common multiple of 4035 and 4043 is 16313505.