Least Common Multiple of 7357 and 7365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7357 and 7365 the smallest integer that is 54184305 that is divisible by both numbers.

Least Common Multiple (LCM) of 7357 and 7365 is 54184305.

LCM(7357,7365) = 54184305

LCM of 7357 and 7365

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

LCM of:
and

Least Common Multiple of 7357 and 7365

LCM of 7357 and 7365 is 54184305

Least common multiple can be found by multiplying the highest exponent prime factors of 7357 and 7365. First we will calculate the prime factors of 7357 and 7365.

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

Prime Factorization of 7365


3 7365
5 2455
491 491
1

Prime factors of 7365 are 3, 5,491. Prime factorization of 7365 in exponential form is:

7365 = 31×51×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 7357 and 7365.

LCM(7357,7365) = 31×51×71×4911×10511
LCM(7357,7365) = 54184305

Factors of 7357

List of positive integer factors of 7357 that divides 7357 without a remainder.

1, 7, 1051, 7357

Factors of 7365

List of positive integer factors of 7365 that divides 7365 without a remainder.

1, 3, 5, 15, 491, 1473, 2455, 7365

Least Common Multiple of 7357 and 7365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7357 and 7365, than apply into the LCM equation.

GCF(7357,7365) = 1
LCM(7357,7365) = ( 7357 × 7365) / 1
LCM(7357,7365) = 54184305 / 1
LCM(7357,7365) = 54184305

Properties of LCM 7357 and 7365

(i) The LCM of 7365 and 7357 is associative

LCM of 7357 and 7365 = LCM of 7365 and 7357

Related Least Common Multiples of 7357

Related Least Common Multiples of 7365

Frequently Asked Questions on LCM of 7357 and 7365

1. What is the LCM of 7357 and 7365?

Answer: LCM of 7357 and 7365 is 54184305.

2. 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.

3. What are the Factors of 7365?

Answer: Factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365. There are 8 integers that are factors of 7365. The greatest factor of 7365 is 7365.

4. How to Find the LCM of 7357 and 7365?

Answer:

Least Common Multiple of 7357 and 7365 = 54184305

Step 1: Find the prime factorization of 7357

7357 = 7 x 1051

Step 2: Find the prime factorization of 7365

7365 = 3 x 5 x 491

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

LCM = 54184305 = 3 x 5 x 7 x 491 x 1051

Step 4: Therefore, the least common multiple of 7357 and 7365 is 54184305.