Least Common Multiple of 10343 and 10351

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 10351 the smallest integer that is 107060393 that is divisible by both numbers.

Least Common Multiple (LCM) of 10343 and 10351 is 107060393.

LCM(10343,10351) = 107060393

LCM of 10343 and 10351

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

LCM of:
and

Least Common Multiple of 10343 and 10351

LCM of 10343 and 10351 is 107060393

Least common multiple can be found by multiplying the highest exponent prime factors of 10343 and 10351. First we will calculate the prime factors of 10343 and 10351.

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 10351


11 10351
941 941
1

Prime factors of 10351 are 11,941. Prime factorization of 10351 in exponential form is:

10351 = 111×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 10343 and 10351.

LCM(10343,10351) = 111×9411×103431
LCM(10343,10351) = 107060393

Factors of 10343

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

1, 10343

Factors of 10351

List of positive integer factors of 10351 that divides 10351 without a remainder.

1, 11, 941, 10351

Least Common Multiple of 10343 and 10351 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 10351, than apply into the LCM equation.

GCF(10343,10351) = 1
LCM(10343,10351) = ( 10343 × 10351) / 1
LCM(10343,10351) = 107060393 / 1
LCM(10343,10351) = 107060393

Properties of LCM 10343 and 10351

(i) The LCM of 10351 and 10343 is associative

LCM of 10343 and 10351 = LCM of 10351 and 10343

Related Least Common Multiples of 10343

Related Least Common Multiples of 10351

Frequently Asked Questions on LCM of 10343 and 10351

1. What is the LCM of 10343 and 10351?

Answer: LCM of 10343 and 10351 is 107060393.

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 10351?

Answer: Factors of 10351 are 1, 11, 941, 10351. There are 4 integers that are factors of 10351. The greatest factor of 10351 is 10351.

4. How to Find the LCM of 10343 and 10351?

Answer:

Least Common Multiple of 10343 and 10351 = 107060393

Step 1: Find the prime factorization of 10343

10343 = 10343

Step 2: Find the prime factorization of 10351

10351 = 11 x 941

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

LCM = 107060393 = 11 x 941 x 10343

Step 4: Therefore, the least common multiple of 10343 and 10351 is 107060393.