Least Common Multiple of 6703 and 6708
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6703 and 6708 the smallest integer that is 44963724 that is divisible by both numbers.
Least Common Multiple (LCM) of 6703 and 6708 is 44963724.
LCM(6703,6708) = 44963724
LCM of 6703 and 6708
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6703 and 6708 by Prime method
- Least Common Multiple of 6703 and 6708 with GCF Formula
LCM of 6703 and 6708 is 44963724
Least common multiple can be found by multiplying the highest exponent prime factors of 6703 and 6708. First we will calculate the prime factors of 6703 and 6708.
Prime Factorization of 6703
| 6703 | 6703 |
| 1 |
Prime factors of 6703 are 6703. Prime factorization of 6703 in exponential form is:
6703 = 67031
Prime Factorization of 6708
| 2 | 6708 |
| 2 | 3354 |
| 3 | 1677 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 6708 are 2, 3, 13,43. Prime factorization of 6708 in exponential form is:
6708 = 22×31×131×431
Now multiplying the highest exponent prime factors to calculate the LCM of 6703 and 6708.
LCM(6703,6708) = 22×31×131×431×67031
LCM(6703,6708) = 44963724
Factors of 6703
List of positive integer factors of 6703 that divides 6703 without a remainder.
1, 6703
Factors of 6708
List of positive integer factors of 6708 that divides 6708 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708
Least Common Multiple of 6703 and 6708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6703 and 6708, than apply into the LCM equation.
GCF(6703,6708) = 1
LCM(6703,6708) = ( 6703 × 6708) / 1
LCM(6703,6708) = 44963724 / 1
LCM(6703,6708) = 44963724
Properties of LCM 6703 and 6708
(i) The LCM of 6708 and 6703 is associative
LCM of 6703 and 6708 = LCM of 6708 and 6703
Related Least Common Multiples of 6703
Related Least Common Multiples of 6708
Frequently Asked Questions on LCM of 6703 and 6708
1. What is the LCM of 6703 and 6708?
Answer: LCM of 6703 and 6708 is 44963724.
2. What are the Factors of 6703?
Answer: Factors of 6703 are 1, 6703. There are 2 integers that are factors of 6703. The greatest factor of 6703 is 6703.
3. What are the Factors of 6708?
Answer: Factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708. There are 24 integers that are factors of 6708. The greatest factor of 6708 is 6708.
4. How to Find the LCM of 6703 and 6708?
Answer:
Least Common Multiple of 6703 and 6708 = 44963724
Step 1: Find the prime factorization of 6703
6703 = 6703
Step 2: Find the prime factorization of 6708
6708 = 2 x 2 x 3 x 13 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44963724 = 2 x 2 x 3 x 13 x 43 x 6703
Step 4: Therefore, the least common multiple of 6703 and 6708 is 44963724.