Least Common Multiple of 8030 and 8035
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8030 and 8035 the smallest integer that is 12904210 that is divisible by both numbers.
Least Common Multiple (LCM) of 8030 and 8035 is 12904210.
LCM(8030,8035) = 12904210
LCM of 8030 and 8035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8030 and 8035 by Prime method
- Least Common Multiple of 8030 and 8035 with GCF Formula
LCM of 8030 and 8035 is 12904210
Least common multiple can be found by multiplying the highest exponent prime factors of 8030 and 8035. First we will calculate the prime factors of 8030 and 8035.
Prime Factorization of 8030
| 2 | 8030 |
| 5 | 4015 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 8030 are 2, 5, 11,73. Prime factorization of 8030 in exponential form is:
8030 = 21×51×111×731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8030 and 8035.
LCM(8030,8035) = 21×51×111×731×16071
LCM(8030,8035) = 12904210
Factors of 8030
List of positive integer factors of 8030 that divides 8030 without a remainder.
1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030
Factors of 8035
List of positive integer factors of 8035 that divides 8035 without a remainder.
1, 5, 1607, 8035
Least Common Multiple of 8030 and 8035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8030 and 8035, than apply into the LCM equation.
GCF(8030,8035) = 5
LCM(8030,8035) = ( 8030 × 8035) / 5
LCM(8030,8035) = 64521050 / 5
LCM(8030,8035) = 12904210
Properties of LCM 8030 and 8035
(i) The LCM of 8035 and 8030 is associative
LCM of 8030 and 8035 = LCM of 8035 and 8030
Related Least Common Multiples of 8030
Related Least Common Multiples of 8035
Frequently Asked Questions on LCM of 8030 and 8035
1. What is the LCM of 8030 and 8035?
Answer: LCM of 8030 and 8035 is 12904210.
2. What are the Factors of 8030?
Answer: Factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030. There are 16 integers that are factors of 8030. The greatest factor of 8030 is 8030.
3. 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.
4. How to Find the LCM of 8030 and 8035?
Answer:
Least Common Multiple of 8030 and 8035 = 12904210
Step 1: Find the prime factorization of 8030
8030 = 2 x 5 x 11 x 73
Step 2: Find the prime factorization of 8035
8035 = 5 x 1607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12904210 = 2 x 5 x 11 x 73 x 1607
Step 4: Therefore, the least common multiple of 8030 and 8035 is 12904210.