Least Common Multiple of 10335 and 10340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10335 and 10340 the smallest integer that is 21372780 that is divisible by both numbers.

Least Common Multiple (LCM) of 10335 and 10340 is 21372780.

LCM(10335,10340) = 21372780

LCM of 10335 and 10340

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

LCM of:
and

Least Common Multiple of 10335 and 10340

LCM of 10335 and 10340 is 21372780

Least common multiple can be found by multiplying the highest exponent prime factors of 10335 and 10340. First we will calculate the prime factors of 10335 and 10340.

Prime Factorization of 10335


3 10335
5 3445
13 689
53 53
1

Prime factors of 10335 are 3, 5, 13,53. Prime factorization of 10335 in exponential form is:

10335 = 31×51×131×531

Prime Factorization of 10340


2 10340
2 5170
5 2585
11 517
47 47
1

Prime factors of 10340 are 2, 5, 11,47. Prime factorization of 10340 in exponential form is:

10340 = 22×51×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 10335 and 10340.

LCM(10335,10340) = 22×31×51×111×131×471×531
LCM(10335,10340) = 21372780

Factors of 10335

List of positive integer factors of 10335 that divides 10335 without a remainder.

1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335

Factors of 10340

List of positive integer factors of 10340 that divides 10340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340

Least Common Multiple of 10335 and 10340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10335 and 10340, than apply into the LCM equation.

GCF(10335,10340) = 5
LCM(10335,10340) = ( 10335 × 10340) / 5
LCM(10335,10340) = 106863900 / 5
LCM(10335,10340) = 21372780

Properties of LCM 10335 and 10340

(i) The LCM of 10340 and 10335 is associative

LCM of 10335 and 10340 = LCM of 10340 and 10335

Related Least Common Multiples of 10335

Related Least Common Multiples of 10340

Frequently Asked Questions on LCM of 10335 and 10340

1. What is the LCM of 10335 and 10340?

Answer: LCM of 10335 and 10340 is 21372780.

2. What are the Factors of 10335?

Answer: Factors of 10335 are 1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335. There are 16 integers that are factors of 10335. The greatest factor of 10335 is 10335.

3. What are the Factors of 10340?

Answer: Factors of 10340 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340. There are 24 integers that are factors of 10340. The greatest factor of 10340 is 10340.

4. How to Find the LCM of 10335 and 10340?

Answer:

Least Common Multiple of 10335 and 10340 = 21372780

Step 1: Find the prime factorization of 10335

10335 = 3 x 5 x 13 x 53

Step 2: Find the prime factorization of 10340

10340 = 2 x 2 x 5 x 11 x 47

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

LCM = 21372780 = 2 x 2 x 3 x 5 x 11 x 13 x 47 x 53

Step 4: Therefore, the least common multiple of 10335 and 10340 is 21372780.