Least Common Multiple of 10338 and 10346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10338 and 10346 the smallest integer that is 53478474 that is divisible by both numbers.

Least Common Multiple (LCM) of 10338 and 10346 is 53478474.

LCM(10338,10346) = 53478474

LCM of 10338 and 10346

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

LCM of:
and

Least Common Multiple of 10338 and 10346

LCM of 10338 and 10346 is 53478474

Least common multiple can be found by multiplying the highest exponent prime factors of 10338 and 10346. First we will calculate the prime factors of 10338 and 10346.

Prime Factorization of 10338


2 10338
3 5169
1723 1723
1

Prime factors of 10338 are 2, 3,1723. Prime factorization of 10338 in exponential form is:

10338 = 21×31×17231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10338 and 10346.

LCM(10338,10346) = 21×31×71×7391×17231
LCM(10338,10346) = 53478474

Factors of 10338

List of positive integer factors of 10338 that divides 10338 without a remainder.

1, 2, 3, 6, 1723, 3446, 5169, 10338

Factors of 10346

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

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

Least Common Multiple of 10338 and 10346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10338 and 10346, than apply into the LCM equation.

GCF(10338,10346) = 2
LCM(10338,10346) = ( 10338 × 10346) / 2
LCM(10338,10346) = 106956948 / 2
LCM(10338,10346) = 53478474

Properties of LCM 10338 and 10346

(i) The LCM of 10346 and 10338 is associative

LCM of 10338 and 10346 = LCM of 10346 and 10338

Related Least Common Multiples of 10338

Related Least Common Multiples of 10346

Frequently Asked Questions on LCM of 10338 and 10346

1. What is the LCM of 10338 and 10346?

Answer: LCM of 10338 and 10346 is 53478474.

2. What are the Factors of 10338?

Answer: Factors of 10338 are 1, 2, 3, 6, 1723, 3446, 5169, 10338. There are 8 integers that are factors of 10338. The greatest factor of 10338 is 10338.

3. 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.

4. How to Find the LCM of 10338 and 10346?

Answer:

Least Common Multiple of 10338 and 10346 = 53478474

Step 1: Find the prime factorization of 10338

10338 = 2 x 3 x 1723

Step 2: Find the prime factorization of 10346

10346 = 2 x 7 x 739

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

LCM = 53478474 = 2 x 3 x 7 x 739 x 1723

Step 4: Therefore, the least common multiple of 10338 and 10346 is 53478474.