Least Common Multiple of 6698 and 6705
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6698 and 6705 the smallest integer that is 44910090 that is divisible by both numbers.
Least Common Multiple (LCM) of 6698 and 6705 is 44910090.
LCM(6698,6705) = 44910090
LCM of 6698 and 6705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6698 and 6705 by Prime method
- Least Common Multiple of 6698 and 6705 with GCF Formula
LCM of 6698 and 6705 is 44910090
Least common multiple can be found by multiplying the highest exponent prime factors of 6698 and 6705. First we will calculate the prime factors of 6698 and 6705.
Prime Factorization of 6698
| 2 | 6698 |
| 17 | 3349 |
| 197 | 197 |
| 1 |
Prime factors of 6698 are 2, 17,197. Prime factorization of 6698 in exponential form is:
6698 = 21×171×1971
Prime Factorization of 6705
| 3 | 6705 |
| 3 | 2235 |
| 5 | 745 |
| 149 | 149 |
| 1 |
Prime factors of 6705 are 3, 5,149. Prime factorization of 6705 in exponential form is:
6705 = 32×51×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 6698 and 6705.
LCM(6698,6705) = 21×32×51×171×1491×1971
LCM(6698,6705) = 44910090
Factors of 6698
List of positive integer factors of 6698 that divides 6698 without a remainder.
1, 2, 17, 34, 197, 394, 3349, 6698
Factors of 6705
List of positive integer factors of 6705 that divides 6705 without a remainder.
1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705
Least Common Multiple of 6698 and 6705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6698 and 6705, than apply into the LCM equation.
GCF(6698,6705) = 1
LCM(6698,6705) = ( 6698 × 6705) / 1
LCM(6698,6705) = 44910090 / 1
LCM(6698,6705) = 44910090
Properties of LCM 6698 and 6705
(i) The LCM of 6705 and 6698 is associative
LCM of 6698 and 6705 = LCM of 6705 and 6698
Related Least Common Multiples of 6698
Related Least Common Multiples of 6705
Frequently Asked Questions on LCM of 6698 and 6705
1. What is the LCM of 6698 and 6705?
Answer: LCM of 6698 and 6705 is 44910090.
2. What are the Factors of 6698?
Answer: Factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698. There are 8 integers that are factors of 6698. The greatest factor of 6698 is 6698.
3. What are the Factors of 6705?
Answer: Factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705. There are 12 integers that are factors of 6705. The greatest factor of 6705 is 6705.
4. How to Find the LCM of 6698 and 6705?
Answer:
Least Common Multiple of 6698 and 6705 = 44910090
Step 1: Find the prime factorization of 6698
6698 = 2 x 17 x 197
Step 2: Find the prime factorization of 6705
6705 = 3 x 3 x 5 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 = 44910090 = 2 x 3 x 3 x 5 x 17 x 149 x 197
Step 4: Therefore, the least common multiple of 6698 and 6705 is 44910090.