Least Common Multiple of 7353 and 7361

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 7361 the smallest integer that is 54125433 that is divisible by both numbers.

Least Common Multiple (LCM) of 7353 and 7361 is 54125433.

LCM(7353,7361) = 54125433

LCM of 7353 and 7361

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7353 and 7361

LCM of 7353 and 7361 is 54125433

Least common multiple can be found by multiplying the highest exponent prime factors of 7353 and 7361. First we will calculate the prime factors of 7353 and 7361.

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 7361


17 7361
433 433
1

Prime factors of 7361 are 17,433. Prime factorization of 7361 in exponential form is:

7361 = 171×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 7353 and 7361.

LCM(7353,7361) = 32×171×191×431×4331
LCM(7353,7361) = 54125433

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 7361

List of positive integer factors of 7361 that divides 7361 without a remainder.

1, 17, 433, 7361

Least Common Multiple of 7353 and 7361 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 7361, than apply into the LCM equation.

GCF(7353,7361) = 1
LCM(7353,7361) = ( 7353 × 7361) / 1
LCM(7353,7361) = 54125433 / 1
LCM(7353,7361) = 54125433

Properties of LCM 7353 and 7361

(i) The LCM of 7361 and 7353 is associative

LCM of 7353 and 7361 = LCM of 7361 and 7353

Related Least Common Multiples of 7353

Related Least Common Multiples of 7361

Frequently Asked Questions on LCM of 7353 and 7361

1. What is the LCM of 7353 and 7361?

Answer: LCM of 7353 and 7361 is 54125433.

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 7361?

Answer: Factors of 7361 are 1, 17, 433, 7361. There are 4 integers that are factors of 7361. The greatest factor of 7361 is 7361.

4. How to Find the LCM of 7353 and 7361?

Answer:

Least Common Multiple of 7353 and 7361 = 54125433

Step 1: Find the prime factorization of 7353

7353 = 3 x 3 x 19 x 43

Step 2: Find the prime factorization of 7361

7361 = 17 x 433

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 54125433 = 3 x 3 x 17 x 19 x 43 x 433

Step 4: Therefore, the least common multiple of 7353 and 7361 is 54125433.