Least Common Multiple of 6985 and 6989
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6985 and 6989 the smallest integer that is 48818165 that is divisible by both numbers.
Least Common Multiple (LCM) of 6985 and 6989 is 48818165.
LCM(6985,6989) = 48818165
LCM of 6985 and 6989
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6985 and 6989 by Prime method
- Least Common Multiple of 6985 and 6989 with GCF Formula
LCM of 6985 and 6989 is 48818165
Least common multiple can be found by multiplying the highest exponent prime factors of 6985 and 6989. First we will calculate the prime factors of 6985 and 6989.
Prime Factorization of 6985
| 5 | 6985 |
| 11 | 1397 |
| 127 | 127 |
| 1 |
Prime factors of 6985 are 5, 11,127. Prime factorization of 6985 in exponential form is:
6985 = 51×111×1271
Prime Factorization of 6989
| 29 | 6989 |
| 241 | 241 |
| 1 |
Prime factors of 6989 are 29,241. Prime factorization of 6989 in exponential form is:
6989 = 291×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 6985 and 6989.
LCM(6985,6989) = 51×111×291×1271×2411
LCM(6985,6989) = 48818165
Factors of 6985
List of positive integer factors of 6985 that divides 6985 without a remainder.
1, 5, 11, 55, 127, 635, 1397, 6985
Factors of 6989
List of positive integer factors of 6989 that divides 6989 without a remainder.
1, 29, 241, 6989
Least Common Multiple of 6985 and 6989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6985 and 6989, than apply into the LCM equation.
GCF(6985,6989) = 1
LCM(6985,6989) = ( 6985 × 6989) / 1
LCM(6985,6989) = 48818165 / 1
LCM(6985,6989) = 48818165
Properties of LCM 6985 and 6989
(i) The LCM of 6989 and 6985 is associative
LCM of 6985 and 6989 = LCM of 6989 and 6985
Related Least Common Multiples of 6985
Related Least Common Multiples of 6989
Frequently Asked Questions on LCM of 6985 and 6989
1. What is the LCM of 6985 and 6989?
Answer: LCM of 6985 and 6989 is 48818165.
2. What are the Factors of 6985?
Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.
3. What are the Factors of 6989?
Answer: Factors of 6989 are 1, 29, 241, 6989. There are 4 integers that are factors of 6989. The greatest factor of 6989 is 6989.
4. How to Find the LCM of 6985 and 6989?
Answer:
Least Common Multiple of 6985 and 6989 = 48818165
Step 1: Find the prime factorization of 6985
6985 = 5 x 11 x 127
Step 2: Find the prime factorization of 6989
6989 = 29 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48818165 = 5 x 11 x 29 x 127 x 241
Step 4: Therefore, the least common multiple of 6985 and 6989 is 48818165.