Least Common Multiple of 5319 and 5326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5319 and 5326 the smallest integer that is 28328994 that is divisible by both numbers.

Least Common Multiple (LCM) of 5319 and 5326 is 28328994.

LCM(5319,5326) = 28328994

LCM of 5319 and 5326

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

LCM of:
and

Least Common Multiple of 5319 and 5326

LCM of 5319 and 5326 is 28328994

Least common multiple can be found by multiplying the highest exponent prime factors of 5319 and 5326. First we will calculate the prime factors of 5319 and 5326.

Prime Factorization of 5319


3 5319
3 1773
3 591
197 197
1

Prime factors of 5319 are 3,197. Prime factorization of 5319 in exponential form is:

5319 = 33×1971

Prime Factorization of 5326


2 5326
2663 2663
1

Prime factors of 5326 are 2,2663. Prime factorization of 5326 in exponential form is:

5326 = 21×26631

Now multiplying the highest exponent prime factors to calculate the LCM of 5319 and 5326.

LCM(5319,5326) = 21×33×1971×26631
LCM(5319,5326) = 28328994

Factors of 5319

List of positive integer factors of 5319 that divides 5319 without a remainder.

1, 3, 9, 27, 197, 591, 1773, 5319

Factors of 5326

List of positive integer factors of 5326 that divides 5326 without a remainder.

1, 2, 2663, 5326

Least Common Multiple of 5319 and 5326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5319 and 5326, than apply into the LCM equation.

GCF(5319,5326) = 1
LCM(5319,5326) = ( 5319 × 5326) / 1
LCM(5319,5326) = 28328994 / 1
LCM(5319,5326) = 28328994

Properties of LCM 5319 and 5326

(i) The LCM of 5326 and 5319 is associative

LCM of 5319 and 5326 = LCM of 5326 and 5319

Related Least Common Multiples of 5319

Related Least Common Multiples of 5326

Frequently Asked Questions on LCM of 5319 and 5326

1. What is the LCM of 5319 and 5326?

Answer: LCM of 5319 and 5326 is 28328994.

2. What are the Factors of 5319?

Answer: Factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319. There are 8 integers that are factors of 5319. The greatest factor of 5319 is 5319.

3. What are the Factors of 5326?

Answer: Factors of 5326 are 1, 2, 2663, 5326. There are 4 integers that are factors of 5326. The greatest factor of 5326 is 5326.

4. How to Find the LCM of 5319 and 5326?

Answer:

Least Common Multiple of 5319 and 5326 = 28328994

Step 1: Find the prime factorization of 5319

5319 = 3 x 3 x 3 x 197

Step 2: Find the prime factorization of 5326

5326 = 2 x 2663

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

LCM = 28328994 = 2 x 3 x 3 x 3 x 197 x 2663

Step 4: Therefore, the least common multiple of 5319 and 5326 is 28328994.