Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5492 and 5497 the smallest integer that is 30189524 that is divisible by both numbers.
Least Common Multiple (LCM) of 5492 and 5497 is 30189524.
LCM(5492,5497) = 30189524
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 5492 and 5497. First we will calculate the prime factors of 5492 and 5497.
Prime Factorization of 5492
2 | 5492 |
2 | 2746 |
1373 | 1373 |
1 |
Prime factors of 5492 are 2,1373. Prime factorization of 5492 in exponential form is:
5492 = 22×13731
Prime Factorization of 5497
23 | 5497 |
239 | 239 |
1 |
Prime factors of 5497 are 23,239. Prime factorization of 5497 in exponential form is:
5497 = 231×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 5492 and 5497.
LCM(5492,5497) = 22×231×2391×13731
LCM(5492,5497) = 30189524
Factors of 5492
List of positive integer factors of 5492 that divides 5492 without a remainder.
1, 2, 4, 1373, 2746, 5492
Factors of 5497
List of positive integer factors of 5497 that divides 5497 without a remainder.
1, 23, 239, 5497
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5492 and 5497, than apply into the LCM equation.
GCF(5492,5497) = 1
LCM(5492,5497) = ( 5492 × 5497) / 1
LCM(5492,5497) = 30189524 / 1
LCM(5492,5497) = 30189524
(i) The LCM of 5497 and 5492 is associative
LCM of 5492 and 5497 = LCM of 5497 and 5492
1. What is the LCM of 5492 and 5497?
Answer: LCM of 5492 and 5497 is 30189524.
2. What are the Factors of 5492?
Answer: Factors of 5492 are 1, 2, 4, 1373, 2746, 5492. There are 6 integers that are factors of 5492. The greatest factor of 5492 is 5492.
3. What are the Factors of 5497?
Answer: Factors of 5497 are 1, 23, 239, 5497. There are 4 integers that are factors of 5497. The greatest factor of 5497 is 5497.
4. How to Find the LCM of 5492 and 5497?
Answer:
Least Common Multiple of 5492 and 5497 = 30189524
Step 1: Find the prime factorization of 5492
5492 = 2 x 2 x 1373
Step 2: Find the prime factorization of 5497
5497 = 23 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30189524 = 2 x 2 x 23 x 239 x 1373
Step 4: Therefore, the least common multiple of 5492 and 5497 is 30189524.