Least Common Multiple of 8023 and 8030
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8023 and 8030 the smallest integer that is 64424690 that is divisible by both numbers.
Least Common Multiple (LCM) of 8023 and 8030 is 64424690.
LCM(8023,8030) = 64424690
LCM of 8023 and 8030
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8023 and 8030 by Prime method
- Least Common Multiple of 8023 and 8030 with GCF Formula
LCM of 8023 and 8030 is 64424690
Least common multiple can be found by multiplying the highest exponent prime factors of 8023 and 8030. First we will calculate the prime factors of 8023 and 8030.
Prime Factorization of 8023
| 71 | 8023 |
| 113 | 113 |
| 1 |
Prime factors of 8023 are 71,113. Prime factorization of 8023 in exponential form is:
8023 = 711×1131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8023 and 8030.
LCM(8023,8030) = 21×51×111×711×731×1131
LCM(8023,8030) = 64424690
Factors of 8023
List of positive integer factors of 8023 that divides 8023 without a remainder.
1, 71, 113, 8023
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
Least Common Multiple of 8023 and 8030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8023 and 8030, than apply into the LCM equation.
GCF(8023,8030) = 1
LCM(8023,8030) = ( 8023 × 8030) / 1
LCM(8023,8030) = 64424690 / 1
LCM(8023,8030) = 64424690
Properties of LCM 8023 and 8030
(i) The LCM of 8030 and 8023 is associative
LCM of 8023 and 8030 = LCM of 8030 and 8023
Related Least Common Multiples of 8023
Related Least Common Multiples of 8030
Frequently Asked Questions on LCM of 8023 and 8030
1. What is the LCM of 8023 and 8030?
Answer: LCM of 8023 and 8030 is 64424690.
2. What are the Factors of 8023?
Answer: Factors of 8023 are 1, 71, 113, 8023. There are 4 integers that are factors of 8023. The greatest factor of 8023 is 8023.
3. 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.
4. How to Find the LCM of 8023 and 8030?
Answer:
Least Common Multiple of 8023 and 8030 = 64424690
Step 1: Find the prime factorization of 8023
8023 = 71 x 113
Step 2: Find the prime factorization of 8030
8030 = 2 x 5 x 11 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64424690 = 2 x 5 x 11 x 71 x 73 x 113
Step 4: Therefore, the least common multiple of 8023 and 8030 is 64424690.