Least Common Multiple of 7313 and 7318
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7313 and 7318 the smallest integer that is 53516534 that is divisible by both numbers.
Least Common Multiple (LCM) of 7313 and 7318 is 53516534.
LCM(7313,7318) = 53516534
LCM of 7313 and 7318
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7313 and 7318 by Prime method
- Least Common Multiple of 7313 and 7318 with GCF Formula
LCM of 7313 and 7318 is 53516534
Least common multiple can be found by multiplying the highest exponent prime factors of 7313 and 7318. First we will calculate the prime factors of 7313 and 7318.
Prime Factorization of 7313
| 71 | 7313 |
| 103 | 103 |
| 1 |
Prime factors of 7313 are 71,103. Prime factorization of 7313 in exponential form is:
7313 = 711×1031
Prime Factorization of 7318
| 2 | 7318 |
| 3659 | 3659 |
| 1 |
Prime factors of 7318 are 2,3659. Prime factorization of 7318 in exponential form is:
7318 = 21×36591
Now multiplying the highest exponent prime factors to calculate the LCM of 7313 and 7318.
LCM(7313,7318) = 21×711×1031×36591
LCM(7313,7318) = 53516534
Factors of 7313
List of positive integer factors of 7313 that divides 7313 without a remainder.
1, 71, 103, 7313
Factors of 7318
List of positive integer factors of 7318 that divides 7318 without a remainder.
1, 2, 3659, 7318
Least Common Multiple of 7313 and 7318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7313 and 7318, than apply into the LCM equation.
GCF(7313,7318) = 1
LCM(7313,7318) = ( 7313 × 7318) / 1
LCM(7313,7318) = 53516534 / 1
LCM(7313,7318) = 53516534
Properties of LCM 7313 and 7318
(i) The LCM of 7318 and 7313 is associative
LCM of 7313 and 7318 = LCM of 7318 and 7313
Related Least Common Multiples of 7313
Related Least Common Multiples of 7318
Frequently Asked Questions on LCM of 7313 and 7318
1. What is the LCM of 7313 and 7318?
Answer: LCM of 7313 and 7318 is 53516534.
2. What are the Factors of 7313?
Answer: Factors of 7313 are 1, 71, 103, 7313. There are 4 integers that are factors of 7313. The greatest factor of 7313 is 7313.
3. What are the Factors of 7318?
Answer: Factors of 7318 are 1, 2, 3659, 7318. There are 4 integers that are factors of 7318. The greatest factor of 7318 is 7318.
4. How to Find the LCM of 7313 and 7318?
Answer:
Least Common Multiple of 7313 and 7318 = 53516534
Step 1: Find the prime factorization of 7313
7313 = 71 x 103
Step 2: Find the prime factorization of 7318
7318 = 2 x 3659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53516534 = 2 x 71 x 103 x 3659
Step 4: Therefore, the least common multiple of 7313 and 7318 is 53516534.
