Least Common Multiple of 7305 and 7310
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7305 and 7310 the smallest integer that is 10679910 that is divisible by both numbers.
Least Common Multiple (LCM) of 7305 and 7310 is 10679910.
LCM(7305,7310) = 10679910
LCM of 7305 and 7310
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7305 and 7310 by Prime method
- Least Common Multiple of 7305 and 7310 with GCF Formula
LCM of 7305 and 7310 is 10679910
Least common multiple can be found by multiplying the highest exponent prime factors of 7305 and 7310. First we will calculate the prime factors of 7305 and 7310.
Prime Factorization of 7305
| 3 | 7305 |
| 5 | 2435 |
| 487 | 487 |
| 1 |
Prime factors of 7305 are 3, 5,487. Prime factorization of 7305 in exponential form is:
7305 = 31×51×4871
Prime Factorization of 7310
| 2 | 7310 |
| 5 | 3655 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 7310 are 2, 5, 17,43. Prime factorization of 7310 in exponential form is:
7310 = 21×51×171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 7305 and 7310.
LCM(7305,7310) = 21×31×51×171×431×4871
LCM(7305,7310) = 10679910
Factors of 7305
List of positive integer factors of 7305 that divides 7305 without a remainder.
1, 3, 5, 15, 487, 1461, 2435, 7305
Factors of 7310
List of positive integer factors of 7310 that divides 7310 without a remainder.
1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310
Least Common Multiple of 7305 and 7310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7305 and 7310, than apply into the LCM equation.
GCF(7305,7310) = 5
LCM(7305,7310) = ( 7305 × 7310) / 5
LCM(7305,7310) = 53399550 / 5
LCM(7305,7310) = 10679910
Properties of LCM 7305 and 7310
(i) The LCM of 7310 and 7305 is associative
LCM of 7305 and 7310 = LCM of 7310 and 7305
Related Least Common Multiples of 7305
Related Least Common Multiples of 7310
Frequently Asked Questions on LCM of 7305 and 7310
1. What is the LCM of 7305 and 7310?
Answer: LCM of 7305 and 7310 is 10679910.
2. What are the Factors of 7305?
Answer: Factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305. There are 8 integers that are factors of 7305. The greatest factor of 7305 is 7305.
3. What are the Factors of 7310?
Answer: Factors of 7310 are 1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655, 7310. There are 16 integers that are factors of 7310. The greatest factor of 7310 is 7310.
4. How to Find the LCM of 7305 and 7310?
Answer:
Least Common Multiple of 7305 and 7310 = 10679910
Step 1: Find the prime factorization of 7305
7305 = 3 x 5 x 487
Step 2: Find the prime factorization of 7310
7310 = 2 x 5 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10679910 = 2 x 3 x 5 x 17 x 43 x 487
Step 4: Therefore, the least common multiple of 7305 and 7310 is 10679910.