Least Common Multiple of 7003 and 7007
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 7007 the smallest integer that is 49070021 that is divisible by both numbers.
Least Common Multiple (LCM) of 7003 and 7007 is 49070021.
LCM(7003,7007) = 49070021
LCM of 7003 and 7007
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7003 and 7007 by Prime method
- Least Common Multiple of 7003 and 7007 with GCF Formula
LCM of 7003 and 7007 is 49070021
Least common multiple can be found by multiplying the highest exponent prime factors of 7003 and 7007. First we will calculate the prime factors of 7003 and 7007.
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 7007
| 7 | 7007 |
| 7 | 1001 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 7007 are 7, 11,13. Prime factorization of 7007 in exponential form is:
7007 = 72×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 7003 and 7007.
LCM(7003,7007) = 72×111×131×471×1491
LCM(7003,7007) = 49070021
Factors of 7003
List of positive integer factors of 7003 that divides 7003 without a remainder.
1, 47, 149, 7003
Factors of 7007
List of positive integer factors of 7007 that divides 7007 without a remainder.
1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
Least Common Multiple of 7003 and 7007 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 7007, than apply into the LCM equation.
GCF(7003,7007) = 1
LCM(7003,7007) = ( 7003 × 7007) / 1
LCM(7003,7007) = 49070021 / 1
LCM(7003,7007) = 49070021
Properties of LCM 7003 and 7007
(i) The LCM of 7007 and 7003 is associative
LCM of 7003 and 7007 = LCM of 7007 and 7003
Related Least Common Multiples of 7003
Related Least Common Multiples of 7007
Frequently Asked Questions on LCM of 7003 and 7007
1. What is the LCM of 7003 and 7007?
Answer: LCM of 7003 and 7007 is 49070021.
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 7007?
Answer: Factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. There are 12 integers that are factors of 7007. The greatest factor of 7007 is 7007.
4. How to Find the LCM of 7003 and 7007?
Answer:
Least Common Multiple of 7003 and 7007 = 49070021
Step 1: Find the prime factorization of 7003
7003 = 47 x 149
Step 2: Find the prime factorization of 7007
7007 = 7 x 7 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49070021 = 7 x 7 x 11 x 13 x 47 x 149
Step 4: Therefore, the least common multiple of 7003 and 7007 is 49070021.