Least Common Multiple of 8027 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 8027 and 8035 the smallest integer that is 64496945 that is divisible by both numbers.
Least Common Multiple (LCM) of 8027 and 8035 is 64496945.
LCM(8027,8035) = 64496945
LCM of 8027 and 8035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8027 and 8035 by Prime method
- Least Common Multiple of 8027 and 8035 with GCF Formula
LCM of 8027 and 8035 is 64496945
Least common multiple can be found by multiplying the highest exponent prime factors of 8027 and 8035. First we will calculate the prime factors of 8027 and 8035.
Prime Factorization of 8027
| 23 | 8027 |
| 349 | 349 |
| 1 |
Prime factors of 8027 are 23,349. Prime factorization of 8027 in exponential form is:
8027 = 231×3491
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 8027 and 8035.
LCM(8027,8035) = 51×231×3491×16071
LCM(8027,8035) = 64496945
Factors of 8027
List of positive integer factors of 8027 that divides 8027 without a remainder.
1, 23, 349, 8027
Factors of 8035
List of positive integer factors of 8035 that divides 8035 without a remainder.
1, 5, 1607, 8035
Least Common Multiple of 8027 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 8027 and 8035, than apply into the LCM equation.
GCF(8027,8035) = 1
LCM(8027,8035) = ( 8027 × 8035) / 1
LCM(8027,8035) = 64496945 / 1
LCM(8027,8035) = 64496945
Properties of LCM 8027 and 8035
(i) The LCM of 8035 and 8027 is associative
LCM of 8027 and 8035 = LCM of 8035 and 8027
Related Least Common Multiples of 8027
Related Least Common Multiples of 8035
Frequently Asked Questions on LCM of 8027 and 8035
1. What is the LCM of 8027 and 8035?
Answer: LCM of 8027 and 8035 is 64496945.
2. What are the Factors of 8027?
Answer: Factors of 8027 are 1, 23, 349, 8027. There are 4 integers that are factors of 8027. The greatest factor of 8027 is 8027.
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 8027 and 8035?
Answer:
Least Common Multiple of 8027 and 8035 = 64496945
Step 1: Find the prime factorization of 8027
8027 = 23 x 349
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 = 64496945 = 5 x 23 x 349 x 1607
Step 4: Therefore, the least common multiple of 8027 and 8035 is 64496945.