Least Common Multiple of 7345 and 7353
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7345 and 7353 the smallest integer that is 54007785 that is divisible by both numbers.
Least Common Multiple (LCM) of 7345 and 7353 is 54007785.
LCM(7345,7353) = 54007785
LCM of 7345 and 7353
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7345 and 7353 by Prime method
- Least Common Multiple of 7345 and 7353 with GCF Formula
LCM of 7345 and 7353 is 54007785
Least common multiple can be found by multiplying the highest exponent prime factors of 7345 and 7353. First we will calculate the prime factors of 7345 and 7353.
Prime Factorization of 7345
| 5 | 7345 |
| 13 | 1469 |
| 113 | 113 |
| 1 |
Prime factors of 7345 are 5, 13,113. Prime factorization of 7345 in exponential form is:
7345 = 51×131×1131
Prime Factorization of 7353
| 3 | 7353 |
| 3 | 2451 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 7353 are 3, 19,43. Prime factorization of 7353 in exponential form is:
7353 = 32×191×431
Now multiplying the highest exponent prime factors to calculate the LCM of 7345 and 7353.
LCM(7345,7353) = 32×51×131×191×431×1131
LCM(7345,7353) = 54007785
Factors of 7345
List of positive integer factors of 7345 that divides 7345 without a remainder.
1, 5, 13, 65, 113, 565, 1469, 7345
Factors of 7353
List of positive integer factors of 7353 that divides 7353 without a remainder.
1, 3, 9, 19, 43, 57, 129, 171, 387, 817, 2451, 7353
Least Common Multiple of 7345 and 7353 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7345 and 7353, than apply into the LCM equation.
GCF(7345,7353) = 1
LCM(7345,7353) = ( 7345 × 7353) / 1
LCM(7345,7353) = 54007785 / 1
LCM(7345,7353) = 54007785
Properties of LCM 7345 and 7353
(i) The LCM of 7353 and 7345 is associative
LCM of 7345 and 7353 = LCM of 7353 and 7345
Related Least Common Multiples of 7345
Related Least Common Multiples of 7353
Frequently Asked Questions on LCM of 7345 and 7353
1. What is the LCM of 7345 and 7353?
Answer: LCM of 7345 and 7353 is 54007785.
2. What are the Factors of 7345?
Answer: Factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345. There are 8 integers that are factors of 7345. The greatest factor of 7345 is 7345.
3. What are the Factors of 7353?
Answer: Factors of 7353 are 1, 3, 9, 19, 43, 57, 129, 171, 387, 817, 2451, 7353. There are 12 integers that are factors of 7353. The greatest factor of 7353 is 7353.
4. How to Find the LCM of 7345 and 7353?
Answer:
Least Common Multiple of 7345 and 7353 = 54007785
Step 1: Find the prime factorization of 7345
7345 = 5 x 13 x 113
Step 2: Find the prime factorization of 7353
7353 = 3 x 3 x 19 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 = 54007785 = 3 x 3 x 5 x 13 x 19 x 43 x 113
Step 4: Therefore, the least common multiple of 7345 and 7353 is 54007785.