Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5348 and 5353 the smallest integer that is 28627844 that is divisible by both numbers.
Least Common Multiple (LCM) of 5348 and 5353 is 28627844.
LCM(5348,5353) = 28627844
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 5348 and 5353. First we will calculate the prime factors of 5348 and 5353.
Prime Factorization of 5348
2 | 5348 |
2 | 2674 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 5348 are 2, 7,191. Prime factorization of 5348 in exponential form is:
5348 = 22×71×1911
Prime Factorization of 5353
53 | 5353 |
101 | 101 |
1 |
Prime factors of 5353 are 53,101. Prime factorization of 5353 in exponential form is:
5353 = 531×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 5348 and 5353.
LCM(5348,5353) = 22×71×531×1011×1911
LCM(5348,5353) = 28627844
Factors of 5348
List of positive integer factors of 5348 that divides 5348 without a remainder.
1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348
Factors of 5353
List of positive integer factors of 5353 that divides 5353 without a remainder.
1, 53, 101, 5353
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5348 and 5353, than apply into the LCM equation.
GCF(5348,5353) = 1
LCM(5348,5353) = ( 5348 × 5353) / 1
LCM(5348,5353) = 28627844 / 1
LCM(5348,5353) = 28627844
(i) The LCM of 5353 and 5348 is associative
LCM of 5348 and 5353 = LCM of 5353 and 5348
1. What is the LCM of 5348 and 5353?
Answer: LCM of 5348 and 5353 is 28627844.
2. What are the Factors of 5348?
Answer: Factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348. There are 12 integers that are factors of 5348. The greatest factor of 5348 is 5348.
3. What are the Factors of 5353?
Answer: Factors of 5353 are 1, 53, 101, 5353. There are 4 integers that are factors of 5353. The greatest factor of 5353 is 5353.
4. How to Find the LCM of 5348 and 5353?
Answer:
Least Common Multiple of 5348 and 5353 = 28627844
Step 1: Find the prime factorization of 5348
5348 = 2 x 2 x 7 x 191
Step 2: Find the prime factorization of 5353
5353 = 53 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28627844 = 2 x 2 x 7 x 53 x 101 x 191
Step 4: Therefore, the least common multiple of 5348 and 5353 is 28627844.