Least Common Multiple of 10346 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 10346 and 10352 the smallest integer that is 53550896 that is divisible by both numbers.

Least Common Multiple (LCM) of 10346 and 10352 is 53550896.

LCM(10346,10352) = 53550896

LCM of 10346 and 10352

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

LCM of:
and

Least Common Multiple of 10346 and 10352

LCM of 10346 and 10352 is 53550896

Least common multiple can be found by multiplying the highest exponent prime factors of 10346 and 10352. First we will calculate the prime factors of 10346 and 10352.

Prime Factorization of 10346


2 10346
7 5173
739 739
1

Prime factors of 10346 are 2, 7,739. Prime factorization of 10346 in exponential form is:

10346 = 21×71×7391

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 10346 and 10352.

LCM(10346,10352) = 24×71×6471×7391
LCM(10346,10352) = 53550896

Factors of 10346

List of positive integer factors of 10346 that divides 10346 without a remainder.

1, 2, 7, 14, 739, 1478, 5173, 10346

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 10346 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 10346 and 10352, than apply into the LCM equation.

GCF(10346,10352) = 2
LCM(10346,10352) = ( 10346 × 10352) / 2
LCM(10346,10352) = 107101792 / 2
LCM(10346,10352) = 53550896

Properties of LCM 10346 and 10352

(i) The LCM of 10352 and 10346 is associative

LCM of 10346 and 10352 = LCM of 10352 and 10346

Related Least Common Multiples of 10346

Related Least Common Multiples of 10352

Frequently Asked Questions on LCM of 10346 and 10352

1. What is the LCM of 10346 and 10352?

Answer: LCM of 10346 and 10352 is 53550896.

2. What are the Factors of 10346?

Answer: Factors of 10346 are 1, 2, 7, 14, 739, 1478, 5173, 10346. There are 8 integers that are factors of 10346. The greatest factor of 10346 is 10346.

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 10346 and 10352?

Answer:

Least Common Multiple of 10346 and 10352 = 53550896

Step 1: Find the prime factorization of 10346

10346 = 2 x 7 x 739

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 = 53550896 = 2 x 2 x 2 x 2 x 7 x 647 x 739

Step 4: Therefore, the least common multiple of 10346 and 10352 is 53550896.