Least Common Multiple of 7320 and 7327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7320 and 7327 the smallest integer that is 53633640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7320 and 7327 is 53633640.

LCM(7320,7327) = 53633640

LCM of 7320 and 7327

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

LCM of:
and

Least Common Multiple of 7320 and 7327

LCM of 7320 and 7327 is 53633640

Least common multiple can be found by multiplying the highest exponent prime factors of 7320 and 7327. First we will calculate the prime factors of 7320 and 7327.

Prime Factorization of 7320


2 7320
2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 7320 are 2, 3, 5,61. Prime factorization of 7320 in exponential form is:

7320 = 23×31×51×611

Prime Factorization of 7327


17 7327
431 431
1

Prime factors of 7327 are 17,431. Prime factorization of 7327 in exponential form is:

7327 = 171×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 7320 and 7327.

LCM(7320,7327) = 23×31×51×171×611×4311
LCM(7320,7327) = 53633640

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320

Factors of 7327

List of positive integer factors of 7327 that divides 7327 without a remainder.

1, 17, 431, 7327

Least Common Multiple of 7320 and 7327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7320 and 7327, than apply into the LCM equation.

GCF(7320,7327) = 1
LCM(7320,7327) = ( 7320 × 7327) / 1
LCM(7320,7327) = 53633640 / 1
LCM(7320,7327) = 53633640

Properties of LCM 7320 and 7327

(i) The LCM of 7327 and 7320 is associative

LCM of 7320 and 7327 = LCM of 7327 and 7320

Related Least Common Multiples of 7320

Related Least Common Multiples of 7327

Frequently Asked Questions on LCM of 7320 and 7327

1. What is the LCM of 7320 and 7327?

Answer: LCM of 7320 and 7327 is 53633640.

2. What are the Factors of 7320?

Answer: Factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320. There are 32 integers that are factors of 7320. The greatest factor of 7320 is 7320.

3. What are the Factors of 7327?

Answer: Factors of 7327 are 1, 17, 431, 7327. There are 4 integers that are factors of 7327. The greatest factor of 7327 is 7327.

4. How to Find the LCM of 7320 and 7327?

Answer:

Least Common Multiple of 7320 and 7327 = 53633640

Step 1: Find the prime factorization of 7320

7320 = 2 x 2 x 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 7327

7327 = 17 x 431

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

LCM = 53633640 = 2 x 2 x 2 x 3 x 5 x 17 x 61 x 431

Step 4: Therefore, the least common multiple of 7320 and 7327 is 53633640.