Least Common Multiple of 10342 and 10347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10342 and 10347 the smallest integer that is 107008674 that is divisible by both numbers.

Least Common Multiple (LCM) of 10342 and 10347 is 107008674.

LCM(10342,10347) = 107008674

LCM of 10342 and 10347

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

LCM of:
and

Least Common Multiple of 10342 and 10347

LCM of 10342 and 10347 is 107008674

Least common multiple can be found by multiplying the highest exponent prime factors of 10342 and 10347. First we will calculate the prime factors of 10342 and 10347.

Prime Factorization of 10342


2 10342
5171 5171
1

Prime factors of 10342 are 2,5171. Prime factorization of 10342 in exponential form is:

10342 = 21×51711

Prime Factorization of 10347


3 10347
3449 3449
1

Prime factors of 10347 are 3,3449. Prime factorization of 10347 in exponential form is:

10347 = 31×34491

Now multiplying the highest exponent prime factors to calculate the LCM of 10342 and 10347.

LCM(10342,10347) = 21×31×34491×51711
LCM(10342,10347) = 107008674

Factors of 10342

List of positive integer factors of 10342 that divides 10342 without a remainder.

1, 2, 5171, 10342

Factors of 10347

List of positive integer factors of 10347 that divides 10347 without a remainder.

1, 3, 3449, 10347

Least Common Multiple of 10342 and 10347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10342 and 10347, than apply into the LCM equation.

GCF(10342,10347) = 1
LCM(10342,10347) = ( 10342 × 10347) / 1
LCM(10342,10347) = 107008674 / 1
LCM(10342,10347) = 107008674

Properties of LCM 10342 and 10347

(i) The LCM of 10347 and 10342 is associative

LCM of 10342 and 10347 = LCM of 10347 and 10342

Related Least Common Multiples of 10342

Related Least Common Multiples of 10347

Frequently Asked Questions on LCM of 10342 and 10347

1. What is the LCM of 10342 and 10347?

Answer: LCM of 10342 and 10347 is 107008674.

2. What are the Factors of 10342?

Answer: Factors of 10342 are 1, 2, 5171, 10342. There are 4 integers that are factors of 10342. The greatest factor of 10342 is 10342.

3. What are the Factors of 10347?

Answer: Factors of 10347 are 1, 3, 3449, 10347. There are 4 integers that are factors of 10347. The greatest factor of 10347 is 10347.

4. How to Find the LCM of 10342 and 10347?

Answer:

Least Common Multiple of 10342 and 10347 = 107008674

Step 1: Find the prime factorization of 10342

10342 = 2 x 5171

Step 2: Find the prime factorization of 10347

10347 = 3 x 3449

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

LCM = 107008674 = 2 x 3 x 3449 x 5171

Step 4: Therefore, the least common multiple of 10342 and 10347 is 107008674.