Least Common Multiple of 7355 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 7355 and 7361 the smallest integer that is 54140155 that is divisible by both numbers.

Least Common Multiple (LCM) of 7355 and 7361 is 54140155.

LCM(7355,7361) = 54140155

LCM of 7355 and 7361

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

LCM of:
and

Least Common Multiple of 7355 and 7361

LCM of 7355 and 7361 is 54140155

Least common multiple can be found by multiplying the highest exponent prime factors of 7355 and 7361. First we will calculate the prime factors of 7355 and 7361.

Prime Factorization of 7355


5 7355
1471 1471
1

Prime factors of 7355 are 5,1471. Prime factorization of 7355 in exponential form is:

7355 = 51×14711

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 7355 and 7361.

LCM(7355,7361) = 51×171×4331×14711
LCM(7355,7361) = 54140155

Factors of 7355

List of positive integer factors of 7355 that divides 7355 without a remainder.

1, 5, 1471, 7355

Factors of 7361

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

1, 17, 433, 7361

Least Common Multiple of 7355 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 7355 and 7361, than apply into the LCM equation.

GCF(7355,7361) = 1
LCM(7355,7361) = ( 7355 × 7361) / 1
LCM(7355,7361) = 54140155 / 1
LCM(7355,7361) = 54140155

Properties of LCM 7355 and 7361

(i) The LCM of 7361 and 7355 is associative

LCM of 7355 and 7361 = LCM of 7361 and 7355

Related Least Common Multiples of 7355

Related Least Common Multiples of 7361

Frequently Asked Questions on LCM of 7355 and 7361

1. What is the LCM of 7355 and 7361?

Answer: LCM of 7355 and 7361 is 54140155.

2. What are the Factors of 7355?

Answer: Factors of 7355 are 1, 5, 1471, 7355. There are 4 integers that are factors of 7355. The greatest factor of 7355 is 7355.

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 7355 and 7361?

Answer:

Least Common Multiple of 7355 and 7361 = 54140155

Step 1: Find the prime factorization of 7355

7355 = 5 x 1471

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 = 54140155 = 5 x 17 x 433 x 1471

Step 4: Therefore, the least common multiple of 7355 and 7361 is 54140155.