Least Common Multiple of 7089 and 7097
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 7097 the smallest integer that is 50310633 that is divisible by both numbers.
Least Common Multiple (LCM) of 7089 and 7097 is 50310633.
LCM(7089,7097) = 50310633
LCM of 7089 and 7097
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7089 and 7097 by Prime method
- Least Common Multiple of 7089 and 7097 with GCF Formula
LCM of 7089 and 7097 is 50310633
Least common multiple can be found by multiplying the highest exponent prime factors of 7089 and 7097. First we will calculate the prime factors of 7089 and 7097.
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 7097
| 47 | 7097 |
| 151 | 151 |
| 1 |
Prime factors of 7097 are 47,151. Prime factorization of 7097 in exponential form is:
7097 = 471×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 7089 and 7097.
LCM(7089,7097) = 31×171×471×1391×1511
LCM(7089,7097) = 50310633
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 7097
List of positive integer factors of 7097 that divides 7097 without a remainder.
1, 47, 151, 7097
Least Common Multiple of 7089 and 7097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7089 and 7097, than apply into the LCM equation.
GCF(7089,7097) = 1
LCM(7089,7097) = ( 7089 × 7097) / 1
LCM(7089,7097) = 50310633 / 1
LCM(7089,7097) = 50310633
Properties of LCM 7089 and 7097
(i) The LCM of 7097 and 7089 is associative
LCM of 7089 and 7097 = LCM of 7097 and 7089
Related Least Common Multiples of 7089
Related Least Common Multiples of 7097
Frequently Asked Questions on LCM of 7089 and 7097
1. What is the LCM of 7089 and 7097?
Answer: LCM of 7089 and 7097 is 50310633.
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 7097?
Answer: Factors of 7097 are 1, 47, 151, 7097. There are 4 integers that are factors of 7097. The greatest factor of 7097 is 7097.
4. How to Find the LCM of 7089 and 7097?
Answer:
Least Common Multiple of 7089 and 7097 = 50310633
Step 1: Find the prime factorization of 7089
7089 = 3 x 17 x 139
Step 2: Find the prime factorization of 7097
7097 = 47 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50310633 = 3 x 17 x 47 x 139 x 151
Step 4: Therefore, the least common multiple of 7089 and 7097 is 50310633.