Least Common Multiple of 7319 and 7323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7319 and 7323 the smallest integer that is 53597037 that is divisible by both numbers.

Least Common Multiple (LCM) of 7319 and 7323 is 53597037.

LCM(7319,7323) = 53597037

LCM of 7319 and 7323

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

LCM of:
and

Least Common Multiple of 7319 and 7323

LCM of 7319 and 7323 is 53597037

Least common multiple can be found by multiplying the highest exponent prime factors of 7319 and 7323. First we will calculate the prime factors of 7319 and 7323.

Prime Factorization of 7319


13 7319
563 563
1

Prime factors of 7319 are 13,563. Prime factorization of 7319 in exponential form is:

7319 = 131×5631

Prime Factorization of 7323


3 7323
2441 2441
1

Prime factors of 7323 are 3,2441. Prime factorization of 7323 in exponential form is:

7323 = 31×24411

Now multiplying the highest exponent prime factors to calculate the LCM of 7319 and 7323.

LCM(7319,7323) = 31×131×5631×24411
LCM(7319,7323) = 53597037

Factors of 7319

List of positive integer factors of 7319 that divides 7319 without a remainder.

1, 13, 563, 7319

Factors of 7323

List of positive integer factors of 7323 that divides 7323 without a remainder.

1, 3, 2441, 7323

Least Common Multiple of 7319 and 7323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7319 and 7323, than apply into the LCM equation.

GCF(7319,7323) = 1
LCM(7319,7323) = ( 7319 × 7323) / 1
LCM(7319,7323) = 53597037 / 1
LCM(7319,7323) = 53597037

Properties of LCM 7319 and 7323

(i) The LCM of 7323 and 7319 is associative

LCM of 7319 and 7323 = LCM of 7323 and 7319

Related Least Common Multiples of 7319

Related Least Common Multiples of 7323

Frequently Asked Questions on LCM of 7319 and 7323

1. What is the LCM of 7319 and 7323?

Answer: LCM of 7319 and 7323 is 53597037.

2. What are the Factors of 7319?

Answer: Factors of 7319 are 1, 13, 563, 7319. There are 4 integers that are factors of 7319. The greatest factor of 7319 is 7319.

3. What are the Factors of 7323?

Answer: Factors of 7323 are 1, 3, 2441, 7323. There are 4 integers that are factors of 7323. The greatest factor of 7323 is 7323.

4. How to Find the LCM of 7319 and 7323?

Answer:

Least Common Multiple of 7319 and 7323 = 53597037

Step 1: Find the prime factorization of 7319

7319 = 13 x 563

Step 2: Find the prime factorization of 7323

7323 = 3 x 2441

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

LCM = 53597037 = 3 x 13 x 563 x 2441

Step 4: Therefore, the least common multiple of 7319 and 7323 is 53597037.