Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5290 and 5294 the smallest integer that is 14002630 that is divisible by both numbers.
Least Common Multiple (LCM) of 5290 and 5294 is 14002630.
LCM(5290,5294) = 14002630
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 5290 and 5294. First we will calculate the prime factors of 5290 and 5294.
Prime Factorization of 5290
2 | 5290 |
5 | 2645 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 5290 are 2, 5,23. Prime factorization of 5290 in exponential form is:
5290 = 21×51×232
Prime Factorization of 5294
2 | 5294 |
2647 | 2647 |
1 |
Prime factors of 5294 are 2,2647. Prime factorization of 5294 in exponential form is:
5294 = 21×26471
Now multiplying the highest exponent prime factors to calculate the LCM of 5290 and 5294.
LCM(5290,5294) = 21×51×232×26471
LCM(5290,5294) = 14002630
Factors of 5290
List of positive integer factors of 5290 that divides 5290 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290
Factors of 5294
List of positive integer factors of 5294 that divides 5294 without a remainder.
1, 2, 2647, 5294
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5290 and 5294, than apply into the LCM equation.
GCF(5290,5294) = 2
LCM(5290,5294) = ( 5290 × 5294) / 2
LCM(5290,5294) = 28005260 / 2
LCM(5290,5294) = 14002630
(i) The LCM of 5294 and 5290 is associative
LCM of 5290 and 5294 = LCM of 5294 and 5290
1. What is the LCM of 5290 and 5294?
Answer: LCM of 5290 and 5294 is 14002630.
2. What are the Factors of 5290?
Answer: Factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290. There are 12 integers that are factors of 5290. The greatest factor of 5290 is 5290.
3. What are the Factors of 5294?
Answer: Factors of 5294 are 1, 2, 2647, 5294. There are 4 integers that are factors of 5294. The greatest factor of 5294 is 5294.
4. How to Find the LCM of 5290 and 5294?
Answer:
Least Common Multiple of 5290 and 5294 = 14002630
Step 1: Find the prime factorization of 5290
5290 = 2 x 5 x 23 x 23
Step 2: Find the prime factorization of 5294
5294 = 2 x 2647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14002630 = 2 x 5 x 23 x 23 x 2647
Step 4: Therefore, the least common multiple of 5290 and 5294 is 14002630.