Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2336 and 2343 the smallest integer that is 5473248 that is divisible by both numbers.
Least Common Multiple (LCM) of 2336 and 2343 is 5473248.
LCM(2336,2343) = 5473248
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 2336 and 2343. First we will calculate the prime factors of 2336 and 2343.
Prime Factorization of 2336
2 | 2336 |
2 | 1168 |
2 | 584 |
2 | 292 |
2 | 146 |
73 | 73 |
1 |
Prime factors of 2336 are 2,73. Prime factorization of 2336 in exponential form is:
2336 = 25×731
Prime Factorization of 2343
3 | 2343 |
11 | 781 |
71 | 71 |
1 |
Prime factors of 2343 are 3, 11,71. Prime factorization of 2343 in exponential form is:
2343 = 31×111×711
Now multiplying the highest exponent prime factors to calculate the LCM of 2336 and 2343.
LCM(2336,2343) = 25×31×111×711×731
LCM(2336,2343) = 5473248
Factors of 2336
List of positive integer factors of 2336 that divides 2336 without a remainder.
1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336
Factors of 2343
List of positive integer factors of 2343 that divides 2343 without a remainder.
1, 3, 11, 33, 71, 213, 781, 2343
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2336 and 2343, than apply into the LCM equation.
GCF(2336,2343) = 1
LCM(2336,2343) = ( 2336 × 2343) / 1
LCM(2336,2343) = 5473248 / 1
LCM(2336,2343) = 5473248
(i) The LCM of 2343 and 2336 is associative
LCM of 2336 and 2343 = LCM of 2343 and 2336
1. What is the LCM of 2336 and 2343?
Answer: LCM of 2336 and 2343 is 5473248.
2. What are the Factors of 2336?
Answer: Factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336. There are 12 integers that are factors of 2336. The greatest factor of 2336 is 2336.
3. What are the Factors of 2343?
Answer: Factors of 2343 are 1, 3, 11, 33, 71, 213, 781, 2343. There are 8 integers that are factors of 2343. The greatest factor of 2343 is 2343.
4. How to Find the LCM of 2336 and 2343?
Answer:
Least Common Multiple of 2336 and 2343 = 5473248
Step 1: Find the prime factorization of 2336
2336 = 2 x 2 x 2 x 2 x 2 x 73
Step 2: Find the prime factorization of 2343
2343 = 3 x 11 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5473248 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 71 x 73
Step 4: Therefore, the least common multiple of 2336 and 2343 is 5473248.