Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5089 and 5097 the smallest integer that is 25938633 that is divisible by both numbers.
Least Common Multiple (LCM) of 5089 and 5097 is 25938633.
LCM(5089,5097) = 25938633
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 5089 and 5097. First we will calculate the prime factors of 5089 and 5097.
Prime Factorization of 5089
7 | 5089 |
727 | 727 |
1 |
Prime factors of 5089 are 7,727. Prime factorization of 5089 in exponential form is:
5089 = 71×7271
Prime Factorization of 5097
3 | 5097 |
1699 | 1699 |
1 |
Prime factors of 5097 are 3,1699. Prime factorization of 5097 in exponential form is:
5097 = 31×16991
Now multiplying the highest exponent prime factors to calculate the LCM of 5089 and 5097.
LCM(5089,5097) = 31×71×7271×16991
LCM(5089,5097) = 25938633
Factors of 5089
List of positive integer factors of 5089 that divides 5089 without a remainder.
1, 7, 727, 5089
Factors of 5097
List of positive integer factors of 5097 that divides 5097 without a remainder.
1, 3, 1699, 5097
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5089 and 5097, than apply into the LCM equation.
GCF(5089,5097) = 1
LCM(5089,5097) = ( 5089 × 5097) / 1
LCM(5089,5097) = 25938633 / 1
LCM(5089,5097) = 25938633
(i) The LCM of 5097 and 5089 is associative
LCM of 5089 and 5097 = LCM of 5097 and 5089
1. What is the LCM of 5089 and 5097?
Answer: LCM of 5089 and 5097 is 25938633.
2. What are the Factors of 5089?
Answer: Factors of 5089 are 1, 7, 727, 5089. There are 4 integers that are factors of 5089. The greatest factor of 5089 is 5089.
3. What are the Factors of 5097?
Answer: Factors of 5097 are 1, 3, 1699, 5097. There are 4 integers that are factors of 5097. The greatest factor of 5097 is 5097.
4. How to Find the LCM of 5089 and 5097?
Answer:
Least Common Multiple of 5089 and 5097 = 25938633
Step 1: Find the prime factorization of 5089
5089 = 7 x 727
Step 2: Find the prime factorization of 5097
5097 = 3 x 1699
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25938633 = 3 x 7 x 727 x 1699
Step 4: Therefore, the least common multiple of 5089 and 5097 is 25938633.