Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4313 and 4316 the smallest integer that is 18614908 that is divisible by both numbers.
Least Common Multiple (LCM) of 4313 and 4316 is 18614908.
LCM(4313,4316) = 18614908
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 4313 and 4316. First we will calculate the prime factors of 4313 and 4316.
Prime Factorization of 4313
19 | 4313 |
227 | 227 |
1 |
Prime factors of 4313 are 19,227. Prime factorization of 4313 in exponential form is:
4313 = 191×2271
Prime Factorization of 4316
2 | 4316 |
2 | 2158 |
13 | 1079 |
83 | 83 |
1 |
Prime factors of 4316 are 2, 13,83. Prime factorization of 4316 in exponential form is:
4316 = 22×131×831
Now multiplying the highest exponent prime factors to calculate the LCM of 4313 and 4316.
LCM(4313,4316) = 22×131×191×831×2271
LCM(4313,4316) = 18614908
Factors of 4313
List of positive integer factors of 4313 that divides 4313 without a remainder.
1, 19, 227, 4313
Factors of 4316
List of positive integer factors of 4316 that divides 4316 without a remainder.
1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4313 and 4316, than apply into the LCM equation.
GCF(4313,4316) = 1
LCM(4313,4316) = ( 4313 × 4316) / 1
LCM(4313,4316) = 18614908 / 1
LCM(4313,4316) = 18614908
(i) The LCM of 4316 and 4313 is associative
LCM of 4313 and 4316 = LCM of 4316 and 4313
1. What is the LCM of 4313 and 4316?
Answer: LCM of 4313 and 4316 is 18614908.
2. What are the Factors of 4313?
Answer: Factors of 4313 are 1, 19, 227, 4313. There are 4 integers that are factors of 4313. The greatest factor of 4313 is 4313.
3. What are the Factors of 4316?
Answer: Factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316. There are 12 integers that are factors of 4316. The greatest factor of 4316 is 4316.
4. How to Find the LCM of 4313 and 4316?
Answer:
Least Common Multiple of 4313 and 4316 = 18614908
Step 1: Find the prime factorization of 4313
4313 = 19 x 227
Step 2: Find the prime factorization of 4316
4316 = 2 x 2 x 13 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18614908 = 2 x 2 x 13 x 19 x 83 x 227
Step 4: Therefore, the least common multiple of 4313 and 4316 is 18614908.