Least Common Multiple of 6678 and 6685
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6678 and 6685 the smallest integer that is 6377490 that is divisible by both numbers.
Least Common Multiple (LCM) of 6678 and 6685 is 6377490.
LCM(6678,6685) = 6377490
LCM of 6678 and 6685
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6678 and 6685 by Prime method
- Least Common Multiple of 6678 and 6685 with GCF Formula
LCM of 6678 and 6685 is 6377490
Least common multiple can be found by multiplying the highest exponent prime factors of 6678 and 6685. First we will calculate the prime factors of 6678 and 6685.
Prime Factorization of 6678
| 2 | 6678 |
| 3 | 3339 |
| 3 | 1113 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 6678 are 2, 3, 7,53. Prime factorization of 6678 in exponential form is:
6678 = 21×32×71×531
Prime Factorization of 6685
| 5 | 6685 |
| 7 | 1337 |
| 191 | 191 |
| 1 |
Prime factors of 6685 are 5, 7,191. Prime factorization of 6685 in exponential form is:
6685 = 51×71×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 6678 and 6685.
LCM(6678,6685) = 21×32×51×71×531×1911
LCM(6678,6685) = 6377490
Factors of 6678
List of positive integer factors of 6678 that divides 6678 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678
Factors of 6685
List of positive integer factors of 6685 that divides 6685 without a remainder.
1, 5, 7, 35, 191, 955, 1337, 6685
Least Common Multiple of 6678 and 6685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6678 and 6685, than apply into the LCM equation.
GCF(6678,6685) = 7
LCM(6678,6685) = ( 6678 × 6685) / 7
LCM(6678,6685) = 44642430 / 7
LCM(6678,6685) = 6377490
Properties of LCM 6678 and 6685
(i) The LCM of 6685 and 6678 is associative
LCM of 6678 and 6685 = LCM of 6685 and 6678
Related Least Common Multiples of 6678
Related Least Common Multiples of 6685
Frequently Asked Questions on LCM of 6678 and 6685
1. What is the LCM of 6678 and 6685?
Answer: LCM of 6678 and 6685 is 6377490.
2. What are the Factors of 6678?
Answer: Factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678. There are 24 integers that are factors of 6678. The greatest factor of 6678 is 6678.
3. What are the Factors of 6685?
Answer: Factors of 6685 are 1, 5, 7, 35, 191, 955, 1337, 6685. There are 8 integers that are factors of 6685. The greatest factor of 6685 is 6685.
4. How to Find the LCM of 6678 and 6685?
Answer:
Least Common Multiple of 6678 and 6685 = 6377490
Step 1: Find the prime factorization of 6678
6678 = 2 x 3 x 3 x 7 x 53
Step 2: Find the prime factorization of 6685
6685 = 5 x 7 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6377490 = 2 x 3 x 3 x 5 x 7 x 53 x 191
Step 4: Therefore, the least common multiple of 6678 and 6685 is 6377490.