Least Common Multiple of 7360 and 7364

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 7364 the smallest integer that is 13549760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7360 and 7364 is 13549760.

LCM(7360,7364) = 13549760

LCM of 7360 and 7364

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

LCM of:
and

Least Common Multiple of 7360 and 7364

LCM of 7360 and 7364 is 13549760

Least common multiple can be found by multiplying the highest exponent prime factors of 7360 and 7364. First we will calculate the prime factors of 7360 and 7364.

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 7364


2 7364
2 3682
7 1841
263 263
1

Prime factors of 7364 are 2, 7,263. Prime factorization of 7364 in exponential form is:

7364 = 22×71×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 7360 and 7364.

LCM(7360,7364) = 26×51×71×231×2631
LCM(7360,7364) = 13549760

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 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364

Least Common Multiple of 7360 and 7364 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 7364, than apply into the LCM equation.

GCF(7360,7364) = 4
LCM(7360,7364) = ( 7360 × 7364) / 4
LCM(7360,7364) = 54199040 / 4
LCM(7360,7364) = 13549760

Properties of LCM 7360 and 7364

(i) The LCM of 7364 and 7360 is associative

LCM of 7360 and 7364 = LCM of 7364 and 7360

Related Least Common Multiples of 7360

Related Least Common Multiples of 7364

Frequently Asked Questions on LCM of 7360 and 7364

1. What is the LCM of 7360 and 7364?

Answer: LCM of 7360 and 7364 is 13549760.

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 7364?

Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.

4. How to Find the LCM of 7360 and 7364?

Answer:

Least Common Multiple of 7360 and 7364 = 13549760

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 7364

7364 = 2 x 2 x 7 x 263

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

LCM = 13549760 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 23 x 263

Step 4: Therefore, the least common multiple of 7360 and 7364 is 13549760.