Least Common Multiple of 7306 and 7313
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7306 and 7313 the smallest integer that is 53428778 that is divisible by both numbers.
Least Common Multiple (LCM) of 7306 and 7313 is 53428778.
LCM(7306,7313) = 53428778
LCM of 7306 and 7313
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7306 and 7313 by Prime method
- Least Common Multiple of 7306 and 7313 with GCF Formula
LCM of 7306 and 7313 is 53428778
Least common multiple can be found by multiplying the highest exponent prime factors of 7306 and 7313. First we will calculate the prime factors of 7306 and 7313.
Prime Factorization of 7306
| 2 | 7306 |
| 13 | 3653 |
| 281 | 281 |
| 1 |
Prime factors of 7306 are 2, 13,281. Prime factorization of 7306 in exponential form is:
7306 = 21×131×2811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7306 and 7313.
LCM(7306,7313) = 21×131×711×1031×2811
LCM(7306,7313) = 53428778
Factors of 7306
List of positive integer factors of 7306 that divides 7306 without a remainder.
1, 2, 13, 26, 281, 562, 3653, 7306
Factors of 7313
List of positive integer factors of 7313 that divides 7313 without a remainder.
1, 71, 103, 7313
Least Common Multiple of 7306 and 7313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7306 and 7313, than apply into the LCM equation.
GCF(7306,7313) = 1
LCM(7306,7313) = ( 7306 × 7313) / 1
LCM(7306,7313) = 53428778 / 1
LCM(7306,7313) = 53428778
Properties of LCM 7306 and 7313
(i) The LCM of 7313 and 7306 is associative
LCM of 7306 and 7313 = LCM of 7313 and 7306
Related Least Common Multiples of 7306
Related Least Common Multiples of 7313
Frequently Asked Questions on LCM of 7306 and 7313
1. What is the LCM of 7306 and 7313?
Answer: LCM of 7306 and 7313 is 53428778.
2. What are the Factors of 7306?
Answer: Factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306. There are 8 integers that are factors of 7306. The greatest factor of 7306 is 7306.
3. 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.
4. How to Find the LCM of 7306 and 7313?
Answer:
Least Common Multiple of 7306 and 7313 = 53428778
Step 1: Find the prime factorization of 7306
7306 = 2 x 13 x 281
Step 2: Find the prime factorization of 7313
7313 = 71 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53428778 = 2 x 13 x 71 x 103 x 281
Step 4: Therefore, the least common multiple of 7306 and 7313 is 53428778.