Least Common Multiple of 2314 and 2321
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2314 and 2321 the smallest integer that is 5370794 that is divisible by both numbers.
Least Common Multiple (LCM) of 2314 and 2321 is 5370794.
LCM(2314,2321) = 5370794
LCM of 2314 and 2321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2314 and 2321 by Prime method
- Least Common Multiple of 2314 and 2321 with GCF Formula
LCM of 2314 and 2321 is 5370794
Least common multiple can be found by multiplying the highest exponent prime factors of 2314 and 2321. First we will calculate the prime factors of 2314 and 2321.
Prime Factorization of 2314
| 2 | 2314 |
| 13 | 1157 |
| 89 | 89 |
| 1 |
Prime factors of 2314 are 2, 13,89. Prime factorization of 2314 in exponential form is:
2314 = 21×131×891
Prime Factorization of 2321
| 11 | 2321 |
| 211 | 211 |
| 1 |
Prime factors of 2321 are 11,211. Prime factorization of 2321 in exponential form is:
2321 = 111×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 2314 and 2321.
LCM(2314,2321) = 21×111×131×891×2111
LCM(2314,2321) = 5370794
Factors of 2314
List of positive integer factors of 2314 that divides 2314 without a remainder.
1, 2, 13, 26, 89, 178, 1157, 2314
Factors of 2321
List of positive integer factors of 2321 that divides 2321 without a remainder.
1, 11, 211, 2321
Least Common Multiple of 2314 and 2321 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2314 and 2321, than apply into the LCM equation.
GCF(2314,2321) = 1
LCM(2314,2321) = ( 2314 × 2321) / 1
LCM(2314,2321) = 5370794 / 1
LCM(2314,2321) = 5370794
Properties of LCM 2314 and 2321
(i) The LCM of 2321 and 2314 is associative
LCM of 2314 and 2321 = LCM of 2321 and 2314
Related Least Common Multiples of 2314
Related Least Common Multiples of 2321
Frequently Asked Questions on LCM of 2314 and 2321
1. What is the LCM of 2314 and 2321?
Answer: LCM of 2314 and 2321 is 5370794.
2. What are the Factors of 2314?
Answer: Factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314. There are 8 integers that are factors of 2314. The greatest factor of 2314 is 2314.
3. What are the Factors of 2321?
Answer: Factors of 2321 are 1, 11, 211, 2321. There are 4 integers that are factors of 2321. The greatest factor of 2321 is 2321.
4. How to Find the LCM of 2314 and 2321?
Answer:
Least Common Multiple of 2314 and 2321 = 5370794
Step 1: Find the prime factorization of 2314
2314 = 2 x 13 x 89
Step 2: Find the prime factorization of 2321
2321 = 11 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5370794 = 2 x 11 x 13 x 89 x 211
Step 4: Therefore, the least common multiple of 2314 and 2321 is 5370794.