Least Common Multiple of 7314 and 7319
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 7319 the smallest integer that is 53531166 that is divisible by both numbers.
Least Common Multiple (LCM) of 7314 and 7319 is 53531166.
LCM(7314,7319) = 53531166
LCM of 7314 and 7319
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7314 and 7319 by Prime method
- Least Common Multiple of 7314 and 7319 with GCF Formula
LCM of 7314 and 7319 is 53531166
Least common multiple can be found by multiplying the highest exponent prime factors of 7314 and 7319. First we will calculate the prime factors of 7314 and 7319.
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 7319
| 13 | 7319 |
| 563 | 563 |
| 1 |
Prime factors of 7319 are 13,563. Prime factorization of 7319 in exponential form is:
7319 = 131×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 7314 and 7319.
LCM(7314,7319) = 21×31×131×231×531×5631
LCM(7314,7319) = 53531166
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 7319
List of positive integer factors of 7319 that divides 7319 without a remainder.
1, 13, 563, 7319
Least Common Multiple of 7314 and 7319 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 7319, than apply into the LCM equation.
GCF(7314,7319) = 1
LCM(7314,7319) = ( 7314 × 7319) / 1
LCM(7314,7319) = 53531166 / 1
LCM(7314,7319) = 53531166
Properties of LCM 7314 and 7319
(i) The LCM of 7319 and 7314 is associative
LCM of 7314 and 7319 = LCM of 7319 and 7314
Related Least Common Multiples of 7314
Related Least Common Multiples of 7319
Frequently Asked Questions on LCM of 7314 and 7319
1. What is the LCM of 7314 and 7319?
Answer: LCM of 7314 and 7319 is 53531166.
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 7319?
Answer: Factors of 7319 are 1, 13, 563, 7319. There are 4 integers that are factors of 7319. The greatest factor of 7319 is 7319.
4. How to Find the LCM of 7314 and 7319?
Answer:
Least Common Multiple of 7314 and 7319 = 53531166
Step 1: Find the prime factorization of 7314
7314 = 2 x 3 x 23 x 53
Step 2: Find the prime factorization of 7319
7319 = 13 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53531166 = 2 x 3 x 13 x 23 x 53 x 563
Step 4: Therefore, the least common multiple of 7314 and 7319 is 53531166.