Least Common Multiple of 7006 and 7011
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7006 and 7011 the smallest integer that is 49119066 that is divisible by both numbers.
Least Common Multiple (LCM) of 7006 and 7011 is 49119066.
LCM(7006,7011) = 49119066
LCM of 7006 and 7011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7006 and 7011 by Prime method
- Least Common Multiple of 7006 and 7011 with GCF Formula
LCM of 7006 and 7011 is 49119066
Least common multiple can be found by multiplying the highest exponent prime factors of 7006 and 7011. First we will calculate the prime factors of 7006 and 7011.
Prime Factorization of 7006
| 2 | 7006 |
| 31 | 3503 |
| 113 | 113 |
| 1 |
Prime factors of 7006 are 2, 31,113. Prime factorization of 7006 in exponential form is:
7006 = 21×311×1131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7006 and 7011.
LCM(7006,7011) = 21×32×191×311×411×1131
LCM(7006,7011) = 49119066
Factors of 7006
List of positive integer factors of 7006 that divides 7006 without a remainder.
1, 2, 31, 62, 113, 226, 3503, 7006
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
Least Common Multiple of 7006 and 7011 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7006 and 7011, than apply into the LCM equation.
GCF(7006,7011) = 1
LCM(7006,7011) = ( 7006 × 7011) / 1
LCM(7006,7011) = 49119066 / 1
LCM(7006,7011) = 49119066
Properties of LCM 7006 and 7011
(i) The LCM of 7011 and 7006 is associative
LCM of 7006 and 7011 = LCM of 7011 and 7006
Related Least Common Multiples of 7006
Related Least Common Multiples of 7011
Frequently Asked Questions on LCM of 7006 and 7011
1. What is the LCM of 7006 and 7011?
Answer: LCM of 7006 and 7011 is 49119066.
2. What are the Factors of 7006?
Answer: Factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. There are 8 integers that are factors of 7006. The greatest factor of 7006 is 7006.
3. 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.
4. How to Find the LCM of 7006 and 7011?
Answer:
Least Common Multiple of 7006 and 7011 = 49119066
Step 1: Find the prime factorization of 7006
7006 = 2 x 31 x 113
Step 2: Find the prime factorization of 7011
7011 = 3 x 3 x 19 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49119066 = 2 x 3 x 3 x 19 x 31 x 41 x 113
Step 4: Therefore, the least common multiple of 7006 and 7011 is 49119066.