Least Common Multiple of 7353 and 7357
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7353 and 7357 the smallest integer that is 54096021 that is divisible by both numbers.
Least Common Multiple (LCM) of 7353 and 7357 is 54096021.
LCM(7353,7357) = 54096021
LCM of 7353 and 7357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7353 and 7357 by Prime method
- Least Common Multiple of 7353 and 7357 with GCF Formula
LCM of 7353 and 7357 is 54096021
Least common multiple can be found by multiplying the highest exponent prime factors of 7353 and 7357. First we will calculate the prime factors of 7353 and 7357.
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
Prime Factorization of 7357
| 7 | 7357 |
| 1051 | 1051 |
| 1 |
Prime factors of 7357 are 7,1051. Prime factorization of 7357 in exponential form is:
7357 = 71×10511
Now multiplying the highest exponent prime factors to calculate the LCM of 7353 and 7357.
LCM(7353,7357) = 32×71×191×431×10511
LCM(7353,7357) = 54096021
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
Factors of 7357
List of positive integer factors of 7357 that divides 7357 without a remainder.
1, 7, 1051, 7357
Least Common Multiple of 7353 and 7357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7353 and 7357, than apply into the LCM equation.
GCF(7353,7357) = 1
LCM(7353,7357) = ( 7353 × 7357) / 1
LCM(7353,7357) = 54096021 / 1
LCM(7353,7357) = 54096021
Properties of LCM 7353 and 7357
(i) The LCM of 7357 and 7353 is associative
LCM of 7353 and 7357 = LCM of 7357 and 7353
Related Least Common Multiples of 7353
Related Least Common Multiples of 7357
Frequently Asked Questions on LCM of 7353 and 7357
1. What is the LCM of 7353 and 7357?
Answer: LCM of 7353 and 7357 is 54096021.
2. 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.
3. What are the Factors of 7357?
Answer: Factors of 7357 are 1, 7, 1051, 7357. There are 4 integers that are factors of 7357. The greatest factor of 7357 is 7357.
4. How to Find the LCM of 7353 and 7357?
Answer:
Least Common Multiple of 7353 and 7357 = 54096021
Step 1: Find the prime factorization of 7353
7353 = 3 x 3 x 19 x 43
Step 2: Find the prime factorization of 7357
7357 = 7 x 1051
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54096021 = 3 x 3 x 7 x 19 x 43 x 1051
Step 4: Therefore, the least common multiple of 7353 and 7357 is 54096021.