Least Common Multiple of 5373 and 5381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5373 and 5381 the smallest integer that is 28912113 that is divisible by both numbers.

Least Common Multiple (LCM) of 5373 and 5381 is 28912113.

LCM(5373,5381) = 28912113

LCM of 5373 and 5381

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

LCM of:
and

Least Common Multiple of 5373 and 5381

LCM of 5373 and 5381 is 28912113

Least common multiple can be found by multiplying the highest exponent prime factors of 5373 and 5381. First we will calculate the prime factors of 5373 and 5381.

Prime Factorization of 5373


3 5373
3 1791
3 597
199 199
1

Prime factors of 5373 are 3,199. Prime factorization of 5373 in exponential form is:

5373 = 33×1991

Prime Factorization of 5381


5381 5381
1

Prime factors of 5381 are 5381. Prime factorization of 5381 in exponential form is:

5381 = 53811

Now multiplying the highest exponent prime factors to calculate the LCM of 5373 and 5381.

LCM(5373,5381) = 33×1991×53811
LCM(5373,5381) = 28912113

Factors of 5373

List of positive integer factors of 5373 that divides 5373 without a remainder.

1, 3, 9, 27, 199, 597, 1791, 5373

Factors of 5381

List of positive integer factors of 5381 that divides 5381 without a remainder.

1, 5381

Least Common Multiple of 5373 and 5381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5373 and 5381, than apply into the LCM equation.

GCF(5373,5381) = 1
LCM(5373,5381) = ( 5373 × 5381) / 1
LCM(5373,5381) = 28912113 / 1
LCM(5373,5381) = 28912113

Properties of LCM 5373 and 5381

(i) The LCM of 5381 and 5373 is associative

LCM of 5373 and 5381 = LCM of 5381 and 5373

Related Least Common Multiples of 5373

Related Least Common Multiples of 5381

Frequently Asked Questions on LCM of 5373 and 5381

1. What is the LCM of 5373 and 5381?

Answer: LCM of 5373 and 5381 is 28912113.

2. What are the Factors of 5373?

Answer: Factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373. There are 8 integers that are factors of 5373. The greatest factor of 5373 is 5373.

3. What are the Factors of 5381?

Answer: Factors of 5381 are 1, 5381. There are 2 integers that are factors of 5381. The greatest factor of 5381 is 5381.

4. How to Find the LCM of 5373 and 5381?

Answer:

Least Common Multiple of 5373 and 5381 = 28912113

Step 1: Find the prime factorization of 5373

5373 = 3 x 3 x 3 x 199

Step 2: Find the prime factorization of 5381

5381 = 5381

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

LCM = 28912113 = 3 x 3 x 3 x 199 x 5381

Step 4: Therefore, the least common multiple of 5373 and 5381 is 28912113.