Least Common Multiple of 7327 and 7334
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7327 and 7334 the smallest integer that is 53736218 that is divisible by both numbers.
Least Common Multiple (LCM) of 7327 and 7334 is 53736218.
LCM(7327,7334) = 53736218
LCM of 7327 and 7334
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7327 and 7334 by Prime method
- Least Common Multiple of 7327 and 7334 with GCF Formula
LCM of 7327 and 7334 is 53736218
Least common multiple can be found by multiplying the highest exponent prime factors of 7327 and 7334. First we will calculate the prime factors of 7327 and 7334.
Prime Factorization of 7327
| 17 | 7327 |
| 431 | 431 |
| 1 |
Prime factors of 7327 are 17,431. Prime factorization of 7327 in exponential form is:
7327 = 171×4311
Prime Factorization of 7334
| 2 | 7334 |
| 19 | 3667 |
| 193 | 193 |
| 1 |
Prime factors of 7334 are 2, 19,193. Prime factorization of 7334 in exponential form is:
7334 = 21×191×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 7327 and 7334.
LCM(7327,7334) = 21×171×191×1931×4311
LCM(7327,7334) = 53736218
Factors of 7327
List of positive integer factors of 7327 that divides 7327 without a remainder.
1, 17, 431, 7327
Factors of 7334
List of positive integer factors of 7334 that divides 7334 without a remainder.
1, 2, 19, 38, 193, 386, 3667, 7334
Least Common Multiple of 7327 and 7334 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7327 and 7334, than apply into the LCM equation.
GCF(7327,7334) = 1
LCM(7327,7334) = ( 7327 × 7334) / 1
LCM(7327,7334) = 53736218 / 1
LCM(7327,7334) = 53736218
Properties of LCM 7327 and 7334
(i) The LCM of 7334 and 7327 is associative
LCM of 7327 and 7334 = LCM of 7334 and 7327
Related Least Common Multiples of 7327
Related Least Common Multiples of 7334
Frequently Asked Questions on LCM of 7327 and 7334
1. What is the LCM of 7327 and 7334?
Answer: LCM of 7327 and 7334 is 53736218.
2. What are the Factors of 7327?
Answer: Factors of 7327 are 1, 17, 431, 7327. There are 4 integers that are factors of 7327. The greatest factor of 7327 is 7327.
3. What are the Factors of 7334?
Answer: Factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334. There are 8 integers that are factors of 7334. The greatest factor of 7334 is 7334.
4. How to Find the LCM of 7327 and 7334?
Answer:
Least Common Multiple of 7327 and 7334 = 53736218
Step 1: Find the prime factorization of 7327
7327 = 17 x 431
Step 2: Find the prime factorization of 7334
7334 = 2 x 19 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53736218 = 2 x 17 x 19 x 193 x 431
Step 4: Therefore, the least common multiple of 7327 and 7334 is 53736218.