Least Common Multiple of 10320 and 10326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10320 and 10326 the smallest integer that is 17760720 that is divisible by both numbers.

Least Common Multiple (LCM) of 10320 and 10326 is 17760720.

LCM(10320,10326) = 17760720

LCM of 10320 and 10326

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

LCM of:
and

Least Common Multiple of 10320 and 10326

LCM of 10320 and 10326 is 17760720

Least common multiple can be found by multiplying the highest exponent prime factors of 10320 and 10326. First we will calculate the prime factors of 10320 and 10326.

Prime Factorization of 10320


2 10320
2 5160
2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 10320 are 2, 3, 5,43. Prime factorization of 10320 in exponential form is:

10320 = 24×31×51×431

Prime Factorization of 10326


2 10326
3 5163
1721 1721
1

Prime factors of 10326 are 2, 3,1721. Prime factorization of 10326 in exponential form is:

10326 = 21×31×17211

Now multiplying the highest exponent prime factors to calculate the LCM of 10320 and 10326.

LCM(10320,10326) = 24×31×51×431×17211
LCM(10320,10326) = 17760720

Factors of 10320

List of positive integer factors of 10320 that divides 10320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 43, 48, 60, 80, 86, 120, 129, 172, 215, 240, 258, 344, 430, 516, 645, 688, 860, 1032, 1290, 1720, 2064, 2580, 3440, 5160, 10320

Factors of 10326

List of positive integer factors of 10326 that divides 10326 without a remainder.

1, 2, 3, 6, 1721, 3442, 5163, 10326

Least Common Multiple of 10320 and 10326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10320 and 10326, than apply into the LCM equation.

GCF(10320,10326) = 6
LCM(10320,10326) = ( 10320 × 10326) / 6
LCM(10320,10326) = 106564320 / 6
LCM(10320,10326) = 17760720

Properties of LCM 10320 and 10326

(i) The LCM of 10326 and 10320 is associative

LCM of 10320 and 10326 = LCM of 10326 and 10320

Related Least Common Multiples of 10320

Related Least Common Multiples of 10326

Frequently Asked Questions on LCM of 10320 and 10326

1. What is the LCM of 10320 and 10326?

Answer: LCM of 10320 and 10326 is 17760720.

2. What are the Factors of 10320?

Answer: Factors of 10320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 43, 48, 60, 80, 86, 120, 129, 172, 215, 240, 258, 344, 430, 516, 645, 688, 860, 1032, 1290, 1720, 2064, 2580, 3440, 5160, 10320. There are 40 integers that are factors of 10320. The greatest factor of 10320 is 10320.

3. What are the Factors of 10326?

Answer: Factors of 10326 are 1, 2, 3, 6, 1721, 3442, 5163, 10326. There are 8 integers that are factors of 10326. The greatest factor of 10326 is 10326.

4. How to Find the LCM of 10320 and 10326?

Answer:

Least Common Multiple of 10320 and 10326 = 17760720

Step 1: Find the prime factorization of 10320

10320 = 2 x 2 x 2 x 2 x 3 x 5 x 43

Step 2: Find the prime factorization of 10326

10326 = 2 x 3 x 1721

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

LCM = 17760720 = 2 x 2 x 2 x 2 x 3 x 5 x 43 x 1721

Step 4: Therefore, the least common multiple of 10320 and 10326 is 17760720.