Least Common Multiple of 12313 and 12321
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12313 and 12321 the smallest integer that is 151708473 that is divisible by both numbers.
Least Common Multiple (LCM) of 12313 and 12321 is 151708473.
LCM(12313,12321) = 151708473
LCM of 12313 and 12321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12313 and 12321 by Prime method
- Least Common Multiple of 12313 and 12321 with GCF Formula
LCM of 12313 and 12321 is 151708473
Least common multiple can be found by multiplying the highest exponent prime factors of 12313 and 12321. First we will calculate the prime factors of 12313 and 12321.
Prime Factorization of 12313
| 7 | 12313 |
| 1759 | 1759 |
| 1 |
Prime factors of 12313 are 7,1759. Prime factorization of 12313 in exponential form is:
12313 = 71×17591
Prime Factorization of 12321
| 3 | 12321 |
| 3 | 4107 |
| 37 | 1369 |
| 37 | 37 |
| 1 |
Prime factors of 12321 are 3,37. Prime factorization of 12321 in exponential form is:
12321 = 32×372
Now multiplying the highest exponent prime factors to calculate the LCM of 12313 and 12321.
LCM(12313,12321) = 32×71×372×17591
LCM(12313,12321) = 151708473
Factors of 12313
List of positive integer factors of 12313 that divides 12313 without a remainder.
1, 7, 1759, 12313
Factors of 12321
List of positive integer factors of 12321 that divides 12321 without a remainder.
1, 3, 9, 37, 111, 333, 1369, 4107, 12321
Least Common Multiple of 12313 and 12321 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12313 and 12321, than apply into the LCM equation.
GCF(12313,12321) = 1
LCM(12313,12321) = ( 12313 × 12321) / 1
LCM(12313,12321) = 151708473 / 1
LCM(12313,12321) = 151708473
Properties of LCM 12313 and 12321
(i) The LCM of 12321 and 12313 is associative
LCM of 12313 and 12321 = LCM of 12321 and 12313
Related Least Common Multiples of 12313
Related Least Common Multiples of 12321
Frequently Asked Questions on LCM of 12313 and 12321
1. What is the LCM of 12313 and 12321?
Answer: LCM of 12313 and 12321 is 151708473.
2. What are the Factors of 12313?
Answer: Factors of 12313 are 1, 7, 1759, 12313. There are 4 integers that are factors of 12313. The greatest factor of 12313 is 12313.
3. What are the Factors of 12321?
Answer: Factors of 12321 are 1, 3, 9, 37, 111, 333, 1369, 4107, 12321. There are 9 integers that are factors of 12321. The greatest factor of 12321 is 12321.
4. How to Find the LCM of 12313 and 12321?
Answer:
Least Common Multiple of 12313 and 12321 = 151708473
Step 1: Find the prime factorization of 12313
12313 = 7 x 1759
Step 2: Find the prime factorization of 12321
12321 = 3 x 3 x 37 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 151708473 = 3 x 3 x 7 x 37 x 37 x 1759
Step 4: Therefore, the least common multiple of 12313 and 12321 is 151708473.