Least Common Multiple of 8035 and 8043
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8035 and 8043 the smallest integer that is 64625505 that is divisible by both numbers.
Least Common Multiple (LCM) of 8035 and 8043 is 64625505.
LCM(8035,8043) = 64625505
LCM of 8035 and 8043
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8035 and 8043 by Prime method
- Least Common Multiple of 8035 and 8043 with GCF Formula
LCM of 8035 and 8043 is 64625505
Least common multiple can be found by multiplying the highest exponent prime factors of 8035 and 8043. First we will calculate the prime factors of 8035 and 8043.
Prime Factorization of 8035
| 5 | 8035 |
| 1607 | 1607 |
| 1 |
Prime factors of 8035 are 5,1607. Prime factorization of 8035 in exponential form is:
8035 = 51×16071
Prime Factorization of 8043
| 3 | 8043 |
| 7 | 2681 |
| 383 | 383 |
| 1 |
Prime factors of 8043 are 3, 7,383. Prime factorization of 8043 in exponential form is:
8043 = 31×71×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 8035 and 8043.
LCM(8035,8043) = 31×51×71×3831×16071
LCM(8035,8043) = 64625505
Factors of 8035
List of positive integer factors of 8035 that divides 8035 without a remainder.
1, 5, 1607, 8035
Factors of 8043
List of positive integer factors of 8043 that divides 8043 without a remainder.
1, 3, 7, 21, 383, 1149, 2681, 8043
Least Common Multiple of 8035 and 8043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8035 and 8043, than apply into the LCM equation.
GCF(8035,8043) = 1
LCM(8035,8043) = ( 8035 × 8043) / 1
LCM(8035,8043) = 64625505 / 1
LCM(8035,8043) = 64625505
Properties of LCM 8035 and 8043
(i) The LCM of 8043 and 8035 is associative
LCM of 8035 and 8043 = LCM of 8043 and 8035
Related Least Common Multiples of 8035
Related Least Common Multiples of 8043
Frequently Asked Questions on LCM of 8035 and 8043
1. What is the LCM of 8035 and 8043?
Answer: LCM of 8035 and 8043 is 64625505.
2. What are the Factors of 8035?
Answer: Factors of 8035 are 1, 5, 1607, 8035. There are 4 integers that are factors of 8035. The greatest factor of 8035 is 8035.
3. What are the Factors of 8043?
Answer: Factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043. There are 8 integers that are factors of 8043. The greatest factor of 8043 is 8043.
4. How to Find the LCM of 8035 and 8043?
Answer:
Least Common Multiple of 8035 and 8043 = 64625505
Step 1: Find the prime factorization of 8035
8035 = 5 x 1607
Step 2: Find the prime factorization of 8043
8043 = 3 x 7 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64625505 = 3 x 5 x 7 x 383 x 1607
Step 4: Therefore, the least common multiple of 8035 and 8043 is 64625505.