Least Common Multiple of 10335 and 10341

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 10341 the smallest integer that is 35624745 that is divisible by both numbers.

Least Common Multiple (LCM) of 10335 and 10341 is 35624745.

LCM(10335,10341) = 35624745

LCM of 10335 and 10341

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

LCM of:
and

Least Common Multiple of 10335 and 10341

LCM of 10335 and 10341 is 35624745

Least common multiple can be found by multiplying the highest exponent prime factors of 10335 and 10341. First we will calculate the prime factors of 10335 and 10341.

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 10341


3 10341
3 3447
3 1149
383 383
1

Prime factors of 10341 are 3,383. Prime factorization of 10341 in exponential form is:

10341 = 33×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 10335 and 10341.

LCM(10335,10341) = 33×51×131×531×3831
LCM(10335,10341) = 35624745

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 10341

List of positive integer factors of 10341 that divides 10341 without a remainder.

1, 3, 9, 27, 383, 1149, 3447, 10341

Least Common Multiple of 10335 and 10341 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 10341, than apply into the LCM equation.

GCF(10335,10341) = 3
LCM(10335,10341) = ( 10335 × 10341) / 3
LCM(10335,10341) = 106874235 / 3
LCM(10335,10341) = 35624745

Properties of LCM 10335 and 10341

(i) The LCM of 10341 and 10335 is associative

LCM of 10335 and 10341 = LCM of 10341 and 10335

Related Least Common Multiples of 10335

Related Least Common Multiples of 10341

Frequently Asked Questions on LCM of 10335 and 10341

1. What is the LCM of 10335 and 10341?

Answer: LCM of 10335 and 10341 is 35624745.

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 10341?

Answer: Factors of 10341 are 1, 3, 9, 27, 383, 1149, 3447, 10341. There are 8 integers that are factors of 10341. The greatest factor of 10341 is 10341.

4. How to Find the LCM of 10335 and 10341?

Answer:

Least Common Multiple of 10335 and 10341 = 35624745

Step 1: Find the prime factorization of 10335

10335 = 3 x 5 x 13 x 53

Step 2: Find the prime factorization of 10341

10341 = 3 x 3 x 3 x 383

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

LCM = 35624745 = 3 x 3 x 3 x 5 x 13 x 53 x 383

Step 4: Therefore, the least common multiple of 10335 and 10341 is 35624745.