Least Common Multiple of 7337 and 7345
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7337 and 7345 the smallest integer that is 53890265 that is divisible by both numbers.
Least Common Multiple (LCM) of 7337 and 7345 is 53890265.
LCM(7337,7345) = 53890265
LCM of 7337 and 7345
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7337 and 7345 by Prime method
- Least Common Multiple of 7337 and 7345 with GCF Formula
LCM of 7337 and 7345 is 53890265
Least common multiple can be found by multiplying the highest exponent prime factors of 7337 and 7345. First we will calculate the prime factors of 7337 and 7345.
Prime Factorization of 7337
| 11 | 7337 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 7337 are 11, 23,29. Prime factorization of 7337 in exponential form is:
7337 = 111×231×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7337 and 7345.
LCM(7337,7345) = 51×111×131×231×291×1131
LCM(7337,7345) = 53890265
Factors of 7337
List of positive integer factors of 7337 that divides 7337 without a remainder.
1, 11, 23, 29, 253, 319, 667, 7337
Factors of 7345
List of positive integer factors of 7345 that divides 7345 without a remainder.
1, 5, 13, 65, 113, 565, 1469, 7345
Least Common Multiple of 7337 and 7345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7337 and 7345, than apply into the LCM equation.
GCF(7337,7345) = 1
LCM(7337,7345) = ( 7337 × 7345) / 1
LCM(7337,7345) = 53890265 / 1
LCM(7337,7345) = 53890265
Properties of LCM 7337 and 7345
(i) The LCM of 7345 and 7337 is associative
LCM of 7337 and 7345 = LCM of 7345 and 7337
Related Least Common Multiples of 7337
Related Least Common Multiples of 7345
Frequently Asked Questions on LCM of 7337 and 7345
1. What is the LCM of 7337 and 7345?
Answer: LCM of 7337 and 7345 is 53890265.
2. What are the Factors of 7337?
Answer: Factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337. There are 8 integers that are factors of 7337. The greatest factor of 7337 is 7337.
3. 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.
4. How to Find the LCM of 7337 and 7345?
Answer:
Least Common Multiple of 7337 and 7345 = 53890265
Step 1: Find the prime factorization of 7337
7337 = 11 x 23 x 29
Step 2: Find the prime factorization of 7345
7345 = 5 x 13 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53890265 = 5 x 11 x 13 x 23 x 29 x 113
Step 4: Therefore, the least common multiple of 7337 and 7345 is 53890265.