Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5303 and 5311 the smallest integer that is 28164233 that is divisible by both numbers.
Least Common Multiple (LCM) of 5303 and 5311 is 28164233.
LCM(5303,5311) = 28164233
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 5303 and 5311. First we will calculate the prime factors of 5303 and 5311.
Prime Factorization of 5303
5303 | 5303 |
1 |
Prime factors of 5303 are 5303. Prime factorization of 5303 in exponential form is:
5303 = 53031
Prime Factorization of 5311
47 | 5311 |
113 | 113 |
1 |
Prime factors of 5311 are 47,113. Prime factorization of 5311 in exponential form is:
5311 = 471×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 5303 and 5311.
LCM(5303,5311) = 471×1131×53031
LCM(5303,5311) = 28164233
Factors of 5303
List of positive integer factors of 5303 that divides 5303 without a remainder.
1, 5303
Factors of 5311
List of positive integer factors of 5311 that divides 5311 without a remainder.
1, 47, 113, 5311
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5303 and 5311, than apply into the LCM equation.
GCF(5303,5311) = 1
LCM(5303,5311) = ( 5303 × 5311) / 1
LCM(5303,5311) = 28164233 / 1
LCM(5303,5311) = 28164233
(i) The LCM of 5311 and 5303 is associative
LCM of 5303 and 5311 = LCM of 5311 and 5303
1. What is the LCM of 5303 and 5311?
Answer: LCM of 5303 and 5311 is 28164233.
2. What are the Factors of 5303?
Answer: Factors of 5303 are 1, 5303. There are 2 integers that are factors of 5303. The greatest factor of 5303 is 5303.
3. What are the Factors of 5311?
Answer: Factors of 5311 are 1, 47, 113, 5311. There are 4 integers that are factors of 5311. The greatest factor of 5311 is 5311.
4. How to Find the LCM of 5303 and 5311?
Answer:
Least Common Multiple of 5303 and 5311 = 28164233
Step 1: Find the prime factorization of 5303
5303 = 5303
Step 2: Find the prime factorization of 5311
5311 = 47 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28164233 = 47 x 113 x 5303
Step 4: Therefore, the least common multiple of 5303 and 5311 is 28164233.