Least Common Multiple of 10344 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 10344 and 10351 the smallest integer that is 107070744 that is divisible by both numbers.

Least Common Multiple (LCM) of 10344 and 10351 is 107070744.

LCM(10344,10351) = 107070744

LCM of 10344 and 10351

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

LCM of:
and

Least Common Multiple of 10344 and 10351

LCM of 10344 and 10351 is 107070744

Least common multiple can be found by multiplying the highest exponent prime factors of 10344 and 10351. First we will calculate the prime factors of 10344 and 10351.

Prime Factorization of 10344


2 10344
2 5172
2 2586
3 1293
431 431
1

Prime factors of 10344 are 2, 3,431. Prime factorization of 10344 in exponential form is:

10344 = 23×31×4311

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 10344 and 10351.

LCM(10344,10351) = 23×31×111×4311×9411
LCM(10344,10351) = 107070744

Factors of 10344

List of positive integer factors of 10344 that divides 10344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 431, 862, 1293, 1724, 2586, 3448, 5172, 10344

Factors of 10351

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

1, 11, 941, 10351

Least Common Multiple of 10344 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 10344 and 10351, than apply into the LCM equation.

GCF(10344,10351) = 1
LCM(10344,10351) = ( 10344 × 10351) / 1
LCM(10344,10351) = 107070744 / 1
LCM(10344,10351) = 107070744

Properties of LCM 10344 and 10351

(i) The LCM of 10351 and 10344 is associative

LCM of 10344 and 10351 = LCM of 10351 and 10344

Related Least Common Multiples of 10344

Related Least Common Multiples of 10351

Frequently Asked Questions on LCM of 10344 and 10351

1. What is the LCM of 10344 and 10351?

Answer: LCM of 10344 and 10351 is 107070744.

2. What are the Factors of 10344?

Answer: Factors of 10344 are 1, 2, 3, 4, 6, 8, 12, 24, 431, 862, 1293, 1724, 2586, 3448, 5172, 10344. There are 16 integers that are factors of 10344. The greatest factor of 10344 is 10344.

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 10344 and 10351?

Answer:

Least Common Multiple of 10344 and 10351 = 107070744

Step 1: Find the prime factorization of 10344

10344 = 2 x 2 x 2 x 3 x 431

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 = 107070744 = 2 x 2 x 2 x 3 x 11 x 431 x 941

Step 4: Therefore, the least common multiple of 10344 and 10351 is 107070744.