Least Common Multiple of 10337 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 10337 and 10341 the smallest integer that is 106894917 that is divisible by both numbers.

Least Common Multiple (LCM) of 10337 and 10341 is 106894917.

LCM(10337,10341) = 106894917

LCM of 10337 and 10341

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

LCM of:
and

Least Common Multiple of 10337 and 10341

LCM of 10337 and 10341 is 106894917

Least common multiple can be found by multiplying the highest exponent prime factors of 10337 and 10341. First we will calculate the prime factors of 10337 and 10341.

Prime Factorization of 10337


10337 10337
1

Prime factors of 10337 are 10337. Prime factorization of 10337 in exponential form is:

10337 = 103371

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 10337 and 10341.

LCM(10337,10341) = 33×3831×103371
LCM(10337,10341) = 106894917

Factors of 10337

List of positive integer factors of 10337 that divides 10337 without a remainder.

1, 10337

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 10337 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 10337 and 10341, than apply into the LCM equation.

GCF(10337,10341) = 1
LCM(10337,10341) = ( 10337 × 10341) / 1
LCM(10337,10341) = 106894917 / 1
LCM(10337,10341) = 106894917

Properties of LCM 10337 and 10341

(i) The LCM of 10341 and 10337 is associative

LCM of 10337 and 10341 = LCM of 10341 and 10337

Related Least Common Multiples of 10337

Related Least Common Multiples of 10341

Frequently Asked Questions on LCM of 10337 and 10341

1. What is the LCM of 10337 and 10341?

Answer: LCM of 10337 and 10341 is 106894917.

2. What are the Factors of 10337?

Answer: Factors of 10337 are 1, 10337. There are 2 integers that are factors of 10337. The greatest factor of 10337 is 10337.

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 10337 and 10341?

Answer:

Least Common Multiple of 10337 and 10341 = 106894917

Step 1: Find the prime factorization of 10337

10337 = 10337

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 = 106894917 = 3 x 3 x 3 x 383 x 10337

Step 4: Therefore, the least common multiple of 10337 and 10341 is 106894917.