Least Common Multiple of 10340 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 10340 and 10346 the smallest integer that is 53488820 that is divisible by both numbers.

Least Common Multiple (LCM) of 10340 and 10346 is 53488820.

LCM(10340,10346) = 53488820

LCM of 10340 and 10346

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

LCM of:
and

Least Common Multiple of 10340 and 10346

LCM of 10340 and 10346 is 53488820

Least common multiple can be found by multiplying the highest exponent prime factors of 10340 and 10346. First we will calculate the prime factors of 10340 and 10346.

Prime Factorization of 10340


2 10340
2 5170
5 2585
11 517
47 47
1

Prime factors of 10340 are 2, 5, 11,47. Prime factorization of 10340 in exponential form is:

10340 = 22×51×111×471

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 10340 and 10346.

LCM(10340,10346) = 22×51×71×111×471×7391
LCM(10340,10346) = 53488820

Factors of 10340

List of positive integer factors of 10340 that divides 10340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340

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 10340 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 10340 and 10346, than apply into the LCM equation.

GCF(10340,10346) = 2
LCM(10340,10346) = ( 10340 × 10346) / 2
LCM(10340,10346) = 106977640 / 2
LCM(10340,10346) = 53488820

Properties of LCM 10340 and 10346

(i) The LCM of 10346 and 10340 is associative

LCM of 10340 and 10346 = LCM of 10346 and 10340

Related Least Common Multiples of 10340

Related Least Common Multiples of 10346

Frequently Asked Questions on LCM of 10340 and 10346

1. What is the LCM of 10340 and 10346?

Answer: LCM of 10340 and 10346 is 53488820.

2. What are the Factors of 10340?

Answer: Factors of 10340 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170, 10340. There are 24 integers that are factors of 10340. The greatest factor of 10340 is 10340.

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 10340 and 10346?

Answer:

Least Common Multiple of 10340 and 10346 = 53488820

Step 1: Find the prime factorization of 10340

10340 = 2 x 2 x 5 x 11 x 47

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 = 53488820 = 2 x 2 x 5 x 7 x 11 x 47 x 739

Step 4: Therefore, the least common multiple of 10340 and 10346 is 53488820.