Least Common Multiple of 7295 and 7303
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7295 and 7303 the smallest integer that is 53275385 that is divisible by both numbers.
Least Common Multiple (LCM) of 7295 and 7303 is 53275385.
LCM(7295,7303) = 53275385
LCM of 7295 and 7303
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7295 and 7303 by Prime method
- Least Common Multiple of 7295 and 7303 with GCF Formula
LCM of 7295 and 7303 is 53275385
Least common multiple can be found by multiplying the highest exponent prime factors of 7295 and 7303. First we will calculate the prime factors of 7295 and 7303.
Prime Factorization of 7295
| 5 | 7295 |
| 1459 | 1459 |
| 1 |
Prime factors of 7295 are 5,1459. Prime factorization of 7295 in exponential form is:
7295 = 51×14591
Prime Factorization of 7303
| 67 | 7303 |
| 109 | 109 |
| 1 |
Prime factors of 7303 are 67,109. Prime factorization of 7303 in exponential form is:
7303 = 671×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 7295 and 7303.
LCM(7295,7303) = 51×671×1091×14591
LCM(7295,7303) = 53275385
Factors of 7295
List of positive integer factors of 7295 that divides 7295 without a remainder.
1, 5, 1459, 7295
Factors of 7303
List of positive integer factors of 7303 that divides 7303 without a remainder.
1, 67, 109, 7303
Least Common Multiple of 7295 and 7303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7295 and 7303, than apply into the LCM equation.
GCF(7295,7303) = 1
LCM(7295,7303) = ( 7295 × 7303) / 1
LCM(7295,7303) = 53275385 / 1
LCM(7295,7303) = 53275385
Properties of LCM 7295 and 7303
(i) The LCM of 7303 and 7295 is associative
LCM of 7295 and 7303 = LCM of 7303 and 7295
Related Least Common Multiples of 7295
Related Least Common Multiples of 7303
Frequently Asked Questions on LCM of 7295 and 7303
1. What is the LCM of 7295 and 7303?
Answer: LCM of 7295 and 7303 is 53275385.
2. What are the Factors of 7295?
Answer: Factors of 7295 are 1, 5, 1459, 7295. There are 4 integers that are factors of 7295. The greatest factor of 7295 is 7295.
3. What are the Factors of 7303?
Answer: Factors of 7303 are 1, 67, 109, 7303. There are 4 integers that are factors of 7303. The greatest factor of 7303 is 7303.
4. How to Find the LCM of 7295 and 7303?
Answer:
Least Common Multiple of 7295 and 7303 = 53275385
Step 1: Find the prime factorization of 7295
7295 = 5 x 1459
Step 2: Find the prime factorization of 7303
7303 = 67 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53275385 = 5 x 67 x 109 x 1459
Step 4: Therefore, the least common multiple of 7295 and 7303 is 53275385.