Least Common Multiple of 7359 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 7359 and 7365 the smallest integer that is 18066345 that is divisible by both numbers.

Least Common Multiple (LCM) of 7359 and 7365 is 18066345.

LCM(7359,7365) = 18066345

LCM of 7359 and 7365

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

LCM of:
and

Least Common Multiple of 7359 and 7365

LCM of 7359 and 7365 is 18066345

Least common multiple can be found by multiplying the highest exponent prime factors of 7359 and 7365. First we will calculate the prime factors of 7359 and 7365.

Prime Factorization of 7359


3 7359
11 2453
223 223
1

Prime factors of 7359 are 3, 11,223. Prime factorization of 7359 in exponential form is:

7359 = 31×111×2231

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 7359 and 7365.

LCM(7359,7365) = 31×51×111×2231×4911
LCM(7359,7365) = 18066345

Factors of 7359

List of positive integer factors of 7359 that divides 7359 without a remainder.

1, 3, 11, 33, 223, 669, 2453, 7359

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 7359 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 7359 and 7365, than apply into the LCM equation.

GCF(7359,7365) = 3
LCM(7359,7365) = ( 7359 × 7365) / 3
LCM(7359,7365) = 54199035 / 3
LCM(7359,7365) = 18066345

Properties of LCM 7359 and 7365

(i) The LCM of 7365 and 7359 is associative

LCM of 7359 and 7365 = LCM of 7365 and 7359

Related Least Common Multiples of 7359

Related Least Common Multiples of 7365

Frequently Asked Questions on LCM of 7359 and 7365

1. What is the LCM of 7359 and 7365?

Answer: LCM of 7359 and 7365 is 18066345.

2. What are the Factors of 7359?

Answer: Factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359. There are 8 integers that are factors of 7359. The greatest factor of 7359 is 7359.

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 7359 and 7365?

Answer:

Least Common Multiple of 7359 and 7365 = 18066345

Step 1: Find the prime factorization of 7359

7359 = 3 x 11 x 223

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 = 18066345 = 3 x 5 x 11 x 223 x 491

Step 4: Therefore, the least common multiple of 7359 and 7365 is 18066345.