Least Common Multiple of 10320 and 10327

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 10327 the smallest integer that is 106574640 that is divisible by both numbers.

Least Common Multiple (LCM) of 10320 and 10327 is 106574640.

LCM(10320,10327) = 106574640

LCM of 10320 and 10327

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

LCM of:
and

Least Common Multiple of 10320 and 10327

LCM of 10320 and 10327 is 106574640

Least common multiple can be found by multiplying the highest exponent prime factors of 10320 and 10327. First we will calculate the prime factors of 10320 and 10327.

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 10327


23 10327
449 449
1

Prime factors of 10327 are 23,449. Prime factorization of 10327 in exponential form is:

10327 = 231×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 10320 and 10327.

LCM(10320,10327) = 24×31×51×231×431×4491
LCM(10320,10327) = 106574640

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 10327

List of positive integer factors of 10327 that divides 10327 without a remainder.

1, 23, 449, 10327

Least Common Multiple of 10320 and 10327 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 10327, than apply into the LCM equation.

GCF(10320,10327) = 1
LCM(10320,10327) = ( 10320 × 10327) / 1
LCM(10320,10327) = 106574640 / 1
LCM(10320,10327) = 106574640

Properties of LCM 10320 and 10327

(i) The LCM of 10327 and 10320 is associative

LCM of 10320 and 10327 = LCM of 10327 and 10320

Related Least Common Multiples of 10320

Related Least Common Multiples of 10327

Frequently Asked Questions on LCM of 10320 and 10327

1. What is the LCM of 10320 and 10327?

Answer: LCM of 10320 and 10327 is 106574640.

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 10327?

Answer: Factors of 10327 are 1, 23, 449, 10327. There are 4 integers that are factors of 10327. The greatest factor of 10327 is 10327.

4. How to Find the LCM of 10320 and 10327?

Answer:

Least Common Multiple of 10320 and 10327 = 106574640

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 10327

10327 = 23 x 449

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

LCM = 106574640 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 43 x 449

Step 4: Therefore, the least common multiple of 10320 and 10327 is 106574640.