Least Common Multiple of 7003 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 7003 and 7011 the smallest integer that is 49098033 that is divisible by both numbers.
Least Common Multiple (LCM) of 7003 and 7011 is 49098033.
LCM(7003,7011) = 49098033
LCM of 7003 and 7011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7003 and 7011 by Prime method
- Least Common Multiple of 7003 and 7011 with GCF Formula
LCM of 7003 and 7011 is 49098033
Least common multiple can be found by multiplying the highest exponent prime factors of 7003 and 7011. First we will calculate the prime factors of 7003 and 7011.
Prime Factorization of 7003
| 47 | 7003 |
| 149 | 149 |
| 1 |
Prime factors of 7003 are 47,149. Prime factorization of 7003 in exponential form is:
7003 = 471×1491
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 7003 and 7011.
LCM(7003,7011) = 32×191×411×471×1491
LCM(7003,7011) = 49098033
Factors of 7003
List of positive integer factors of 7003 that divides 7003 without a remainder.
1, 47, 149, 7003
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 7003 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 7003 and 7011, than apply into the LCM equation.
GCF(7003,7011) = 1
LCM(7003,7011) = ( 7003 × 7011) / 1
LCM(7003,7011) = 49098033 / 1
LCM(7003,7011) = 49098033
Properties of LCM 7003 and 7011
(i) The LCM of 7011 and 7003 is associative
LCM of 7003 and 7011 = LCM of 7011 and 7003
Related Least Common Multiples of 7003
Related Least Common Multiples of 7011
Frequently Asked Questions on LCM of 7003 and 7011
1. What is the LCM of 7003 and 7011?
Answer: LCM of 7003 and 7011 is 49098033.
2. What are the Factors of 7003?
Answer: Factors of 7003 are 1, 47, 149, 7003. There are 4 integers that are factors of 7003. The greatest factor of 7003 is 7003.
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 7003 and 7011?
Answer:
Least Common Multiple of 7003 and 7011 = 49098033
Step 1: Find the prime factorization of 7003
7003 = 47 x 149
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 = 49098033 = 3 x 3 x 19 x 41 x 47 x 149
Step 4: Therefore, the least common multiple of 7003 and 7011 is 49098033.