Least Common Multiple of 4313 and 4321
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 4321 the smallest integer that is 18636473 that is divisible by both numbers.
Least Common Multiple (LCM) of 4313 and 4321 is 18636473.
LCM(4313,4321) = 18636473
LCM of 4313 and 4321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4313 and 4321 by Prime method
- Least Common Multiple of 4313 and 4321 with GCF Formula
LCM of 4313 and 4321 is 18636473
Least common multiple can be found by multiplying the highest exponent prime factors of 4313 and 4321. First we will calculate the prime factors of 4313 and 4321.
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 4321
| 29 | 4321 |
| 149 | 149 |
| 1 |
Prime factors of 4321 are 29,149. Prime factorization of 4321 in exponential form is:
4321 = 291×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 4313 and 4321.
LCM(4313,4321) = 191×291×1491×2271
LCM(4313,4321) = 18636473
Factors of 4313
List of positive integer factors of 4313 that divides 4313 without a remainder.
1, 19, 227, 4313
Factors of 4321
List of positive integer factors of 4321 that divides 4321 without a remainder.
1, 29, 149, 4321
Least Common Multiple of 4313 and 4321 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4313 and 4321, than apply into the LCM equation.
GCF(4313,4321) = 1
LCM(4313,4321) = ( 4313 × 4321) / 1
LCM(4313,4321) = 18636473 / 1
LCM(4313,4321) = 18636473
Properties of LCM 4313 and 4321
(i) The LCM of 4321 and 4313 is associative
LCM of 4313 and 4321 = LCM of 4321 and 4313
Related Least Common Multiples of 4313
Related Least Common Multiples of 4321
Frequently Asked Questions on LCM of 4313 and 4321
1. What is the LCM of 4313 and 4321?
Answer: LCM of 4313 and 4321 is 18636473.
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 4321?
Answer: Factors of 4321 are 1, 29, 149, 4321. There are 4 integers that are factors of 4321. The greatest factor of 4321 is 4321.
4. How to Find the LCM of 4313 and 4321?
Answer:
Least Common Multiple of 4313 and 4321 = 18636473
Step 1: Find the prime factorization of 4313
4313 = 19 x 227
Step 2: Find the prime factorization of 4321
4321 = 29 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18636473 = 19 x 29 x 149 x 227
Step 4: Therefore, the least common multiple of 4313 and 4321 is 18636473.