Least Common Multiple of 7360 and 7367

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 7367 the smallest integer that is 54221120 that is divisible by both numbers.

Least Common Multiple (LCM) of 7360 and 7367 is 54221120.

LCM(7360,7367) = 54221120

LCM of 7360 and 7367

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

LCM of:
and

Least Common Multiple of 7360 and 7367

LCM of 7360 and 7367 is 54221120

Least common multiple can be found by multiplying the highest exponent prime factors of 7360 and 7367. First we will calculate the prime factors of 7360 and 7367.

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 7367


53 7367
139 139
1

Prime factors of 7367 are 53,139. Prime factorization of 7367 in exponential form is:

7367 = 531×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7360 and 7367.

LCM(7360,7367) = 26×51×231×531×1391
LCM(7360,7367) = 54221120

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 7367

List of positive integer factors of 7367 that divides 7367 without a remainder.

1, 53, 139, 7367

Least Common Multiple of 7360 and 7367 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 7367, than apply into the LCM equation.

GCF(7360,7367) = 1
LCM(7360,7367) = ( 7360 × 7367) / 1
LCM(7360,7367) = 54221120 / 1
LCM(7360,7367) = 54221120

Properties of LCM 7360 and 7367

(i) The LCM of 7367 and 7360 is associative

LCM of 7360 and 7367 = LCM of 7367 and 7360

Related Least Common Multiples of 7360

Related Least Common Multiples of 7367

Frequently Asked Questions on LCM of 7360 and 7367

1. What is the LCM of 7360 and 7367?

Answer: LCM of 7360 and 7367 is 54221120.

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 7367?

Answer: Factors of 7367 are 1, 53, 139, 7367. There are 4 integers that are factors of 7367. The greatest factor of 7367 is 7367.

4. How to Find the LCM of 7360 and 7367?

Answer:

Least Common Multiple of 7360 and 7367 = 54221120

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 7367

7367 = 53 x 139

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

LCM = 54221120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23 x 53 x 139

Step 4: Therefore, the least common multiple of 7360 and 7367 is 54221120.