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 4314 the smallest integer that is 18606282 that is divisible by both numbers.
Least Common Multiple (LCM) of 4313 and 4314 is 18606282.
LCM(4313,4314) = 18606282
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 4314. First we will calculate the prime factors of 4313 and 4314.
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 4314
2 | 4314 |
3 | 2157 |
719 | 719 |
1 |
Prime factors of 4314 are 2, 3,719. Prime factorization of 4314 in exponential form is:
4314 = 21×31×7191
Now multiplying the highest exponent prime factors to calculate the LCM of 4313 and 4314.
LCM(4313,4314) = 21×31×191×2271×7191
LCM(4313,4314) = 18606282
Factors of 4313
List of positive integer factors of 4313 that divides 4313 without a remainder.
1, 19, 227, 4313
Factors of 4314
List of positive integer factors of 4314 that divides 4314 without a remainder.
1, 2, 3, 6, 719, 1438, 2157, 4314
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4313 and 4314, than apply into the LCM equation.
GCF(4313,4314) = 1
LCM(4313,4314) = ( 4313 × 4314) / 1
LCM(4313,4314) = 18606282 / 1
LCM(4313,4314) = 18606282
(i) The LCM of 4314 and 4313 is associative
LCM of 4313 and 4314 = LCM of 4314 and 4313
1. What is the LCM of 4313 and 4314?
Answer: LCM of 4313 and 4314 is 18606282.
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 4314?
Answer: Factors of 4314 are 1, 2, 3, 6, 719, 1438, 2157, 4314. There are 8 integers that are factors of 4314. The greatest factor of 4314 is 4314.
4. How to Find the LCM of 4313 and 4314?
Answer:
Least Common Multiple of 4313 and 4314 = 18606282
Step 1: Find the prime factorization of 4313
4313 = 19 x 227
Step 2: Find the prime factorization of 4314
4314 = 2 x 3 x 719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18606282 = 2 x 3 x 19 x 227 x 719
Step 4: Therefore, the least common multiple of 4313 and 4314 is 18606282.