Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5343 and 5350 the smallest integer that is 28585050 that is divisible by both numbers.
Least Common Multiple (LCM) of 5343 and 5350 is 28585050.
LCM(5343,5350) = 28585050
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 5343 and 5350. First we will calculate the prime factors of 5343 and 5350.
Prime Factorization of 5343
3 | 5343 |
13 | 1781 |
137 | 137 |
1 |
Prime factors of 5343 are 3, 13,137. Prime factorization of 5343 in exponential form is:
5343 = 31×131×1371
Prime Factorization of 5350
2 | 5350 |
5 | 2675 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 5350 are 2, 5,107. Prime factorization of 5350 in exponential form is:
5350 = 21×52×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 5343 and 5350.
LCM(5343,5350) = 21×31×52×131×1071×1371
LCM(5343,5350) = 28585050
Factors of 5343
List of positive integer factors of 5343 that divides 5343 without a remainder.
1, 3, 13, 39, 137, 411, 1781, 5343
Factors of 5350
List of positive integer factors of 5350 that divides 5350 without a remainder.
1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5343 and 5350, than apply into the LCM equation.
GCF(5343,5350) = 1
LCM(5343,5350) = ( 5343 × 5350) / 1
LCM(5343,5350) = 28585050 / 1
LCM(5343,5350) = 28585050
(i) The LCM of 5350 and 5343 is associative
LCM of 5343 and 5350 = LCM of 5350 and 5343
1. What is the LCM of 5343 and 5350?
Answer: LCM of 5343 and 5350 is 28585050.
2. What are the Factors of 5343?
Answer: Factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343. There are 8 integers that are factors of 5343. The greatest factor of 5343 is 5343.
3. What are the Factors of 5350?
Answer: Factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350. There are 12 integers that are factors of 5350. The greatest factor of 5350 is 5350.
4. How to Find the LCM of 5343 and 5350?
Answer:
Least Common Multiple of 5343 and 5350 = 28585050
Step 1: Find the prime factorization of 5343
5343 = 3 x 13 x 137
Step 2: Find the prime factorization of 5350
5350 = 2 x 5 x 5 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28585050 = 2 x 3 x 5 x 5 x 13 x 107 x 137
Step 4: Therefore, the least common multiple of 5343 and 5350 is 28585050.