Least Common Multiple of 10343 and 10349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10343 and 10349 the smallest integer that is 107039707 that is divisible by both numbers.

Least Common Multiple (LCM) of 10343 and 10349 is 107039707.

LCM(10343,10349) = 107039707

LCM of 10343 and 10349

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

LCM of:
and

Least Common Multiple of 10343 and 10349

LCM of 10343 and 10349 is 107039707

Least common multiple can be found by multiplying the highest exponent prime factors of 10343 and 10349. First we will calculate the prime factors of 10343 and 10349.

Prime Factorization of 10343


10343 10343
1

Prime factors of 10343 are 10343. Prime factorization of 10343 in exponential form is:

10343 = 103431

Prime Factorization of 10349


79 10349
131 131
1

Prime factors of 10349 are 79,131. Prime factorization of 10349 in exponential form is:

10349 = 791×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 10343 and 10349.

LCM(10343,10349) = 791×1311×103431
LCM(10343,10349) = 107039707

Factors of 10343

List of positive integer factors of 10343 that divides 10343 without a remainder.

1, 10343

Factors of 10349

List of positive integer factors of 10349 that divides 10349 without a remainder.

1, 79, 131, 10349

Least Common Multiple of 10343 and 10349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10343 and 10349, than apply into the LCM equation.

GCF(10343,10349) = 1
LCM(10343,10349) = ( 10343 × 10349) / 1
LCM(10343,10349) = 107039707 / 1
LCM(10343,10349) = 107039707

Properties of LCM 10343 and 10349

(i) The LCM of 10349 and 10343 is associative

LCM of 10343 and 10349 = LCM of 10349 and 10343

Related Least Common Multiples of 10343

Related Least Common Multiples of 10349

Frequently Asked Questions on LCM of 10343 and 10349

1. What is the LCM of 10343 and 10349?

Answer: LCM of 10343 and 10349 is 107039707.

2. What are the Factors of 10343?

Answer: Factors of 10343 are 1, 10343. There are 2 integers that are factors of 10343. The greatest factor of 10343 is 10343.

3. What are the Factors of 10349?

Answer: Factors of 10349 are 1, 79, 131, 10349. There are 4 integers that are factors of 10349. The greatest factor of 10349 is 10349.

4. How to Find the LCM of 10343 and 10349?

Answer:

Least Common Multiple of 10343 and 10349 = 107039707

Step 1: Find the prime factorization of 10343

10343 = 10343

Step 2: Find the prime factorization of 10349

10349 = 79 x 131

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

LCM = 107039707 = 79 x 131 x 10343

Step 4: Therefore, the least common multiple of 10343 and 10349 is 107039707.