Least Common Multiple of 10344 and 10352

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 10352 the smallest integer that is 13385136 that is divisible by both numbers.

Least Common Multiple (LCM) of 10344 and 10352 is 13385136.

LCM(10344,10352) = 13385136

LCM of 10344 and 10352

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

LCM of:
and

Least Common Multiple of 10344 and 10352

LCM of 10344 and 10352 is 13385136

Least common multiple can be found by multiplying the highest exponent prime factors of 10344 and 10352. First we will calculate the prime factors of 10344 and 10352.

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 10352


2 10352
2 5176
2 2588
2 1294
647 647
1

Prime factors of 10352 are 2,647. Prime factorization of 10352 in exponential form is:

10352 = 24×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 10344 and 10352.

LCM(10344,10352) = 24×31×4311×6471
LCM(10344,10352) = 13385136

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 10352

List of positive integer factors of 10352 that divides 10352 without a remainder.

1, 2, 4, 8, 16, 647, 1294, 2588, 5176, 10352

Least Common Multiple of 10344 and 10352 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 10352, than apply into the LCM equation.

GCF(10344,10352) = 8
LCM(10344,10352) = ( 10344 × 10352) / 8
LCM(10344,10352) = 107081088 / 8
LCM(10344,10352) = 13385136

Properties of LCM 10344 and 10352

(i) The LCM of 10352 and 10344 is associative

LCM of 10344 and 10352 = LCM of 10352 and 10344

Related Least Common Multiples of 10344

Related Least Common Multiples of 10352

Frequently Asked Questions on LCM of 10344 and 10352

1. What is the LCM of 10344 and 10352?

Answer: LCM of 10344 and 10352 is 13385136.

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 10352?

Answer: Factors of 10352 are 1, 2, 4, 8, 16, 647, 1294, 2588, 5176, 10352. There are 10 integers that are factors of 10352. The greatest factor of 10352 is 10352.

4. How to Find the LCM of 10344 and 10352?

Answer:

Least Common Multiple of 10344 and 10352 = 13385136

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 10352

10352 = 2 x 2 x 2 x 2 x 647

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

LCM = 13385136 = 2 x 2 x 2 x 2 x 3 x 431 x 647

Step 4: Therefore, the least common multiple of 10344 and 10352 is 13385136.