Least Common Multiple of 7003 and 7009
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 7009 the smallest integer that is 49084027 that is divisible by both numbers.
Least Common Multiple (LCM) of 7003 and 7009 is 49084027.
LCM(7003,7009) = 49084027
LCM of 7003 and 7009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7003 and 7009 by Prime method
- Least Common Multiple of 7003 and 7009 with GCF Formula
LCM of 7003 and 7009 is 49084027
Least common multiple can be found by multiplying the highest exponent prime factors of 7003 and 7009. First we will calculate the prime factors of 7003 and 7009.
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 7009
| 43 | 7009 |
| 163 | 163 |
| 1 |
Prime factors of 7009 are 43,163. Prime factorization of 7009 in exponential form is:
7009 = 431×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 7003 and 7009.
LCM(7003,7009) = 431×471×1491×1631
LCM(7003,7009) = 49084027
Factors of 7003
List of positive integer factors of 7003 that divides 7003 without a remainder.
1, 47, 149, 7003
Factors of 7009
List of positive integer factors of 7009 that divides 7009 without a remainder.
1, 43, 163, 7009
Least Common Multiple of 7003 and 7009 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 7009, than apply into the LCM equation.
GCF(7003,7009) = 1
LCM(7003,7009) = ( 7003 × 7009) / 1
LCM(7003,7009) = 49084027 / 1
LCM(7003,7009) = 49084027
Properties of LCM 7003 and 7009
(i) The LCM of 7009 and 7003 is associative
LCM of 7003 and 7009 = LCM of 7009 and 7003
Related Least Common Multiples of 7003
Related Least Common Multiples of 7009
Frequently Asked Questions on LCM of 7003 and 7009
1. What is the LCM of 7003 and 7009?
Answer: LCM of 7003 and 7009 is 49084027.
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 7009?
Answer: Factors of 7009 are 1, 43, 163, 7009. There are 4 integers that are factors of 7009. The greatest factor of 7009 is 7009.
4. How to Find the LCM of 7003 and 7009?
Answer:
Least Common Multiple of 7003 and 7009 = 49084027
Step 1: Find the prime factorization of 7003
7003 = 47 x 149
Step 2: Find the prime factorization of 7009
7009 = 43 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49084027 = 43 x 47 x 149 x 163
Step 4: Therefore, the least common multiple of 7003 and 7009 is 49084027.