Least Common Multiple of 5373 and 5379

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 5379 the smallest integer that is 9633789 that is divisible by both numbers.

Least Common Multiple (LCM) of 5373 and 5379 is 9633789.

LCM(5373,5379) = 9633789

LCM of 5373 and 5379

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

LCM of:
and

Least Common Multiple of 5373 and 5379

LCM of 5373 and 5379 is 9633789

Least common multiple can be found by multiplying the highest exponent prime factors of 5373 and 5379. First we will calculate the prime factors of 5373 and 5379.

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 5379


3 5379
11 1793
163 163
1

Prime factors of 5379 are 3, 11,163. Prime factorization of 5379 in exponential form is:

5379 = 31×111×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 5373 and 5379.

LCM(5373,5379) = 33×111×1631×1991
LCM(5373,5379) = 9633789

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 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1, 3, 11, 33, 163, 489, 1793, 5379

Least Common Multiple of 5373 and 5379 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 5379, than apply into the LCM equation.

GCF(5373,5379) = 3
LCM(5373,5379) = ( 5373 × 5379) / 3
LCM(5373,5379) = 28901367 / 3
LCM(5373,5379) = 9633789

Properties of LCM 5373 and 5379

(i) The LCM of 5379 and 5373 is associative

LCM of 5373 and 5379 = LCM of 5379 and 5373

Related Least Common Multiples of 5373

Related Least Common Multiples of 5379

Frequently Asked Questions on LCM of 5373 and 5379

1. What is the LCM of 5373 and 5379?

Answer: LCM of 5373 and 5379 is 9633789.

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 5379?

Answer: Factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379. There are 8 integers that are factors of 5379. The greatest factor of 5379 is 5379.

4. How to Find the LCM of 5373 and 5379?

Answer:

Least Common Multiple of 5373 and 5379 = 9633789

Step 1: Find the prime factorization of 5373

5373 = 3 x 3 x 3 x 199

Step 2: Find the prime factorization of 5379

5379 = 3 x 11 x 163

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

LCM = 9633789 = 3 x 3 x 3 x 11 x 163 x 199

Step 4: Therefore, the least common multiple of 5373 and 5379 is 9633789.