Least Common Multiple of 7011 and 7018
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7011 and 7018 the smallest integer that is 49203198 that is divisible by both numbers.
Least Common Multiple (LCM) of 7011 and 7018 is 49203198.
LCM(7011,7018) = 49203198
LCM of 7011 and 7018
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7011 and 7018 by Prime method
- Least Common Multiple of 7011 and 7018 with GCF Formula
LCM of 7011 and 7018 is 49203198
Least common multiple can be found by multiplying the highest exponent prime factors of 7011 and 7018. First we will calculate the prime factors of 7011 and 7018.
Prime Factorization of 7011
| 3 | 7011 |
| 3 | 2337 |
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 7011 are 3, 19,41. Prime factorization of 7011 in exponential form is:
7011 = 32×191×411
Prime Factorization of 7018
| 2 | 7018 |
| 11 | 3509 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 7018 are 2, 11,29. Prime factorization of 7018 in exponential form is:
7018 = 21×112×291
Now multiplying the highest exponent prime factors to calculate the LCM of 7011 and 7018.
LCM(7011,7018) = 21×32×112×191×291×411
LCM(7011,7018) = 49203198
Factors of 7011
List of positive integer factors of 7011 that divides 7011 without a remainder.
1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011
Factors of 7018
List of positive integer factors of 7018 that divides 7018 without a remainder.
1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018
Least Common Multiple of 7011 and 7018 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7011 and 7018, than apply into the LCM equation.
GCF(7011,7018) = 1
LCM(7011,7018) = ( 7011 × 7018) / 1
LCM(7011,7018) = 49203198 / 1
LCM(7011,7018) = 49203198
Properties of LCM 7011 and 7018
(i) The LCM of 7018 and 7011 is associative
LCM of 7011 and 7018 = LCM of 7018 and 7011
Related Least Common Multiples of 7011
Related Least Common Multiples of 7018
Frequently Asked Questions on LCM of 7011 and 7018
1. What is the LCM of 7011 and 7018?
Answer: LCM of 7011 and 7018 is 49203198.
2. What are the Factors of 7011?
Answer: Factors of 7011 are 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011. There are 12 integers that are factors of 7011. The greatest factor of 7011 is 7011.
3. What are the Factors of 7018?
Answer: Factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018. There are 12 integers that are factors of 7018. The greatest factor of 7018 is 7018.
4. How to Find the LCM of 7011 and 7018?
Answer:
Least Common Multiple of 7011 and 7018 = 49203198
Step 1: Find the prime factorization of 7011
7011 = 3 x 3 x 19 x 41
Step 2: Find the prime factorization of 7018
7018 = 2 x 11 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49203198 = 2 x 3 x 3 x 11 x 11 x 19 x 29 x 41
Step 4: Therefore, the least common multiple of 7011 and 7018 is 49203198.
