Least Common Multiple of 7314 and 7321
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7314 and 7321 the smallest integer that is 53545794 that is divisible by both numbers.
Least Common Multiple (LCM) of 7314 and 7321 is 53545794.
LCM(7314,7321) = 53545794
LCM of 7314 and 7321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7314 and 7321 by Prime method
- Least Common Multiple of 7314 and 7321 with GCF Formula
LCM of 7314 and 7321 is 53545794
Least common multiple can be found by multiplying the highest exponent prime factors of 7314 and 7321. First we will calculate the prime factors of 7314 and 7321.
Prime Factorization of 7314
| 2 | 7314 |
| 3 | 3657 |
| 23 | 1219 |
| 53 | 53 |
| 1 |
Prime factors of 7314 are 2, 3, 23,53. Prime factorization of 7314 in exponential form is:
7314 = 21×31×231×531
Prime Factorization of 7321
| 7321 | 7321 |
| 1 |
Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:
7321 = 73211
Now multiplying the highest exponent prime factors to calculate the LCM of 7314 and 7321.
LCM(7314,7321) = 21×31×231×531×73211
LCM(7314,7321) = 53545794
Factors of 7314
List of positive integer factors of 7314 that divides 7314 without a remainder.
1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314
Factors of 7321
List of positive integer factors of 7321 that divides 7321 without a remainder.
1, 7321
Least Common Multiple of 7314 and 7321 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7314 and 7321, than apply into the LCM equation.
GCF(7314,7321) = 1
LCM(7314,7321) = ( 7314 × 7321) / 1
LCM(7314,7321) = 53545794 / 1
LCM(7314,7321) = 53545794
Properties of LCM 7314 and 7321
(i) The LCM of 7321 and 7314 is associative
LCM of 7314 and 7321 = LCM of 7321 and 7314
Related Least Common Multiples of 7314
Related Least Common Multiples of 7321
Frequently Asked Questions on LCM of 7314 and 7321
1. What is the LCM of 7314 and 7321?
Answer: LCM of 7314 and 7321 is 53545794.
2. What are the Factors of 7314?
Answer: Factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314. There are 16 integers that are factors of 7314. The greatest factor of 7314 is 7314.
3. What are the Factors of 7321?
Answer: Factors of 7321 are 1, 7321. There are 2 integers that are factors of 7321. The greatest factor of 7321 is 7321.
4. How to Find the LCM of 7314 and 7321?
Answer:
Least Common Multiple of 7314 and 7321 = 53545794
Step 1: Find the prime factorization of 7314
7314 = 2 x 3 x 23 x 53
Step 2: Find the prime factorization of 7321
7321 = 7321
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53545794 = 2 x 3 x 23 x 53 x 7321
Step 4: Therefore, the least common multiple of 7314 and 7321 is 53545794.