Least Common Multiple of 10340 and 10348

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 10348 the smallest integer that is 26749580 that is divisible by both numbers.

Least Common Multiple (LCM) of 10340 and 10348 is 26749580.

LCM(10340,10348) = 26749580

LCM of 10340 and 10348

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

LCM of:
and

Least Common Multiple of 10340 and 10348

LCM of 10340 and 10348 is 26749580

Least common multiple can be found by multiplying the highest exponent prime factors of 10340 and 10348. First we will calculate the prime factors of 10340 and 10348.

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 10348


2 10348
2 5174
13 2587
199 199
1

Prime factors of 10348 are 2, 13,199. Prime factorization of 10348 in exponential form is:

10348 = 22×131×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 10340 and 10348.

LCM(10340,10348) = 22×51×111×131×471×1991
LCM(10340,10348) = 26749580

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 10348

List of positive integer factors of 10348 that divides 10348 without a remainder.

1, 2, 4, 13, 26, 52, 199, 398, 796, 2587, 5174, 10348

Least Common Multiple of 10340 and 10348 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 10348, than apply into the LCM equation.

GCF(10340,10348) = 4
LCM(10340,10348) = ( 10340 × 10348) / 4
LCM(10340,10348) = 106998320 / 4
LCM(10340,10348) = 26749580

Properties of LCM 10340 and 10348

(i) The LCM of 10348 and 10340 is associative

LCM of 10340 and 10348 = LCM of 10348 and 10340

Related Least Common Multiples of 10340

Related Least Common Multiples of 10348

Frequently Asked Questions on LCM of 10340 and 10348

1. What is the LCM of 10340 and 10348?

Answer: LCM of 10340 and 10348 is 26749580.

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 10348?

Answer: Factors of 10348 are 1, 2, 4, 13, 26, 52, 199, 398, 796, 2587, 5174, 10348. There are 12 integers that are factors of 10348. The greatest factor of 10348 is 10348.

4. How to Find the LCM of 10340 and 10348?

Answer:

Least Common Multiple of 10340 and 10348 = 26749580

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 10348

10348 = 2 x 2 x 13 x 199

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

LCM = 26749580 = 2 x 2 x 5 x 11 x 13 x 47 x 199

Step 4: Therefore, the least common multiple of 10340 and 10348 is 26749580.