Least Common Multiple of 7360 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 7360 and 7365 the smallest integer that is 10841280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7360 and 7365 is 10841280.

LCM(7360,7365) = 10841280

LCM of 7360 and 7365

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

LCM of:
and

Least Common Multiple of 7360 and 7365

LCM of 7360 and 7365 is 10841280

Least common multiple can be found by multiplying the highest exponent prime factors of 7360 and 7365. First we will calculate the prime factors of 7360 and 7365.

Prime Factorization of 7360


2 7360
2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 7360 are 2, 5,23. Prime factorization of 7360 in exponential form is:

7360 = 26×51×231

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 7360 and 7365.

LCM(7360,7365) = 26×31×51×231×4911
LCM(7360,7365) = 10841280

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360

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 7360 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 7360 and 7365, than apply into the LCM equation.

GCF(7360,7365) = 5
LCM(7360,7365) = ( 7360 × 7365) / 5
LCM(7360,7365) = 54206400 / 5
LCM(7360,7365) = 10841280

Properties of LCM 7360 and 7365

(i) The LCM of 7365 and 7360 is associative

LCM of 7360 and 7365 = LCM of 7365 and 7360

Related Least Common Multiples of 7360

Related Least Common Multiples of 7365

Frequently Asked Questions on LCM of 7360 and 7365

1. What is the LCM of 7360 and 7365?

Answer: LCM of 7360 and 7365 is 10841280.

2. What are the Factors of 7360?

Answer: Factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360. There are 28 integers that are factors of 7360. The greatest factor of 7360 is 7360.

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 7360 and 7365?

Answer:

Least Common Multiple of 7360 and 7365 = 10841280

Step 1: Find the prime factorization of 7360

7360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23

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 = 10841280 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 491

Step 4: Therefore, the least common multiple of 7360 and 7365 is 10841280.