Least Common Multiple of 10339 and 10347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10339 and 10347 the smallest integer that is 106977633 that is divisible by both numbers.

Least Common Multiple (LCM) of 10339 and 10347 is 106977633.

LCM(10339,10347) = 106977633

LCM of 10339 and 10347

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

LCM of:
and

Least Common Multiple of 10339 and 10347

LCM of 10339 and 10347 is 106977633

Least common multiple can be found by multiplying the highest exponent prime factors of 10339 and 10347. First we will calculate the prime factors of 10339 and 10347.

Prime Factorization of 10339


7 10339
7 1477
211 211
1

Prime factors of 10339 are 7,211. Prime factorization of 10339 in exponential form is:

10339 = 72×2111

Prime Factorization of 10347


3 10347
3449 3449
1

Prime factors of 10347 are 3,3449. Prime factorization of 10347 in exponential form is:

10347 = 31×34491

Now multiplying the highest exponent prime factors to calculate the LCM of 10339 and 10347.

LCM(10339,10347) = 31×72×2111×34491
LCM(10339,10347) = 106977633

Factors of 10339

List of positive integer factors of 10339 that divides 10339 without a remainder.

1, 7, 49, 211, 1477, 10339

Factors of 10347

List of positive integer factors of 10347 that divides 10347 without a remainder.

1, 3, 3449, 10347

Least Common Multiple of 10339 and 10347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10339 and 10347, than apply into the LCM equation.

GCF(10339,10347) = 1
LCM(10339,10347) = ( 10339 × 10347) / 1
LCM(10339,10347) = 106977633 / 1
LCM(10339,10347) = 106977633

Properties of LCM 10339 and 10347

(i) The LCM of 10347 and 10339 is associative

LCM of 10339 and 10347 = LCM of 10347 and 10339

Related Least Common Multiples of 10339

Related Least Common Multiples of 10347

Frequently Asked Questions on LCM of 10339 and 10347

1. What is the LCM of 10339 and 10347?

Answer: LCM of 10339 and 10347 is 106977633.

2. What are the Factors of 10339?

Answer: Factors of 10339 are 1, 7, 49, 211, 1477, 10339. There are 6 integers that are factors of 10339. The greatest factor of 10339 is 10339.

3. What are the Factors of 10347?

Answer: Factors of 10347 are 1, 3, 3449, 10347. There are 4 integers that are factors of 10347. The greatest factor of 10347 is 10347.

4. How to Find the LCM of 10339 and 10347?

Answer:

Least Common Multiple of 10339 and 10347 = 106977633

Step 1: Find the prime factorization of 10339

10339 = 7 x 7 x 211

Step 2: Find the prime factorization of 10347

10347 = 3 x 3449

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

LCM = 106977633 = 3 x 7 x 7 x 211 x 3449

Step 4: Therefore, the least common multiple of 10339 and 10347 is 106977633.