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 5090 the smallest integer that is 25903010 that is divisible by both numbers.
Least Common Multiple (LCM) of 5089 and 5090 is 25903010.
LCM(5089,5090) = 25903010
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 5090. First we will calculate the prime factors of 5089 and 5090.
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 5090
2 | 5090 |
5 | 2545 |
509 | 509 |
1 |
Prime factors of 5090 are 2, 5,509. Prime factorization of 5090 in exponential form is:
5090 = 21×51×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 5089 and 5090.
LCM(5089,5090) = 21×51×71×5091×7271
LCM(5089,5090) = 25903010
Factors of 5089
List of positive integer factors of 5089 that divides 5089 without a remainder.
1, 7, 727, 5089
Factors of 5090
List of positive integer factors of 5090 that divides 5090 without a remainder.
1, 2, 5, 10, 509, 1018, 2545, 5090
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5089 and 5090, than apply into the LCM equation.
GCF(5089,5090) = 1
LCM(5089,5090) = ( 5089 × 5090) / 1
LCM(5089,5090) = 25903010 / 1
LCM(5089,5090) = 25903010
(i) The LCM of 5090 and 5089 is associative
LCM of 5089 and 5090 = LCM of 5090 and 5089
1. What is the LCM of 5089 and 5090?
Answer: LCM of 5089 and 5090 is 25903010.
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 5090?
Answer: Factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090. There are 8 integers that are factors of 5090. The greatest factor of 5090 is 5090.
4. How to Find the LCM of 5089 and 5090?
Answer:
Least Common Multiple of 5089 and 5090 = 25903010
Step 1: Find the prime factorization of 5089
5089 = 7 x 727
Step 2: Find the prime factorization of 5090
5090 = 2 x 5 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25903010 = 2 x 5 x 7 x 509 x 727
Step 4: Therefore, the least common multiple of 5089 and 5090 is 25903010.