Least Common Multiple of 6998 and 7003
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6998 and 7003 the smallest integer that is 49006994 that is divisible by both numbers.
Least Common Multiple (LCM) of 6998 and 7003 is 49006994.
LCM(6998,7003) = 49006994
LCM of 6998 and 7003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6998 and 7003 by Prime method
- Least Common Multiple of 6998 and 7003 with GCF Formula
LCM of 6998 and 7003 is 49006994
Least common multiple can be found by multiplying the highest exponent prime factors of 6998 and 7003. First we will calculate the prime factors of 6998 and 7003.
Prime Factorization of 6998
| 2 | 6998 |
| 3499 | 3499 |
| 1 |
Prime factors of 6998 are 2,3499. Prime factorization of 6998 in exponential form is:
6998 = 21×34991
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6998 and 7003.
LCM(6998,7003) = 21×471×1491×34991
LCM(6998,7003) = 49006994
Factors of 6998
List of positive integer factors of 6998 that divides 6998 without a remainder.
1, 2, 3499, 6998
Factors of 7003
List of positive integer factors of 7003 that divides 7003 without a remainder.
1, 47, 149, 7003
Least Common Multiple of 6998 and 7003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6998 and 7003, than apply into the LCM equation.
GCF(6998,7003) = 1
LCM(6998,7003) = ( 6998 × 7003) / 1
LCM(6998,7003) = 49006994 / 1
LCM(6998,7003) = 49006994
Properties of LCM 6998 and 7003
(i) The LCM of 7003 and 6998 is associative
LCM of 6998 and 7003 = LCM of 7003 and 6998
Related Least Common Multiples of 6998
Related Least Common Multiples of 7003
Frequently Asked Questions on LCM of 6998 and 7003
1. What is the LCM of 6998 and 7003?
Answer: LCM of 6998 and 7003 is 49006994.
2. What are the Factors of 6998?
Answer: Factors of 6998 are 1, 2, 3499, 6998. There are 4 integers that are factors of 6998. The greatest factor of 6998 is 6998.
3. 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.
4. How to Find the LCM of 6998 and 7003?
Answer:
Least Common Multiple of 6998 and 7003 = 49006994
Step 1: Find the prime factorization of 6998
6998 = 2 x 3499
Step 2: Find the prime factorization of 7003
7003 = 47 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49006994 = 2 x 47 x 149 x 3499
Step 4: Therefore, the least common multiple of 6998 and 7003 is 49006994.