Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7089 and 7095 the smallest integer that is 16765485 that is divisible by both numbers.
Least Common Multiple (LCM) of 7089 and 7095 is 16765485.
LCM(7089,7095) = 16765485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7095. First we will calculate the prime factors of 7089 and 7095.
Prime Factorization of 7089
3 | 7089 |
17 | 2363 |
139 | 139 |
1 |
Prime factors of 7089 are 3, 17,139. Prime factorization of 7089 in exponential form is:
7089 = 31×171×1391
Prime Factorization of 7095
3 | 7095 |
5 | 2365 |
11 | 473 |
43 | 43 |
1 |
Prime factors of 7095 are 3, 5, 11,43. Prime factorization of 7095 in exponential form is:
7095 = 31×51×111×431
Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7095.
LCM(7089,7095) = 31×51×111×171×431×1391
LCM(7089,7095) = 16765485
Factors of 7089
List of positive integer factors of 7089 that divides 7089 without a remainder.
1, 3, 17, 51, 139, 417, 2363, 7089
Factors of 7095
List of positive integer factors of 7095 that divides 7095 without a remainder.
1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7089 and 7095, than apply into the LCM equation.
GCF(7089,7095) = 3
LCM(7089,7095) = ( 7089 × 7095) / 3
LCM(7089,7095) = 50296455 / 3
LCM(7089,7095) = 16765485
(i) The LCM of 7095 and 7089 is associative
LCM of 7089 and 7095 = LCM of 7095 and 7089
1. What is the LCM of 7089 and 7095?
Answer: LCM of 7089 and 7095 is 16765485.
2. What are the Factors of 7089?
Answer: Factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089. There are 8 integers that are factors of 7089. The greatest factor of 7089 is 7089.
3. What are the Factors of 7095?
Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.
4. How to Find the LCM of 7089 and 7095?
Answer:
Least Common Multiple of 7089 and 7095 = 16765485
Step 1: Find the prime factorization of 7089
7089 = 3 x 17 x 139
Step 2: Find the prime factorization of 7095
7095 = 3 x 5 x 11 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 = 16765485 = 3 x 5 x 11 x 17 x 43 x 139
Step 4: Therefore, the least common multiple of 7089 and 7095 is 16765485.