Least Common Multiple of 10342 and 10349

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 10349 the smallest integer that is 107029358 that is divisible by both numbers.

Least Common Multiple (LCM) of 10342 and 10349 is 107029358.

LCM(10342,10349) = 107029358

LCM of 10342 and 10349

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

LCM of:
and

Least Common Multiple of 10342 and 10349

LCM of 10342 and 10349 is 107029358

Least common multiple can be found by multiplying the highest exponent prime factors of 10342 and 10349. First we will calculate the prime factors of 10342 and 10349.

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 10349


79 10349
131 131
1

Prime factors of 10349 are 79,131. Prime factorization of 10349 in exponential form is:

10349 = 791×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 10342 and 10349.

LCM(10342,10349) = 21×791×1311×51711
LCM(10342,10349) = 107029358

Factors of 10342

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

1, 2, 5171, 10342

Factors of 10349

List of positive integer factors of 10349 that divides 10349 without a remainder.

1, 79, 131, 10349

Least Common Multiple of 10342 and 10349 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 10349, than apply into the LCM equation.

GCF(10342,10349) = 1
LCM(10342,10349) = ( 10342 × 10349) / 1
LCM(10342,10349) = 107029358 / 1
LCM(10342,10349) = 107029358

Properties of LCM 10342 and 10349

(i) The LCM of 10349 and 10342 is associative

LCM of 10342 and 10349 = LCM of 10349 and 10342

Related Least Common Multiples of 10342

Related Least Common Multiples of 10349

Frequently Asked Questions on LCM of 10342 and 10349

1. What is the LCM of 10342 and 10349?

Answer: LCM of 10342 and 10349 is 107029358.

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 10349?

Answer: Factors of 10349 are 1, 79, 131, 10349. There are 4 integers that are factors of 10349. The greatest factor of 10349 is 10349.

4. How to Find the LCM of 10342 and 10349?

Answer:

Least Common Multiple of 10342 and 10349 = 107029358

Step 1: Find the prime factorization of 10342

10342 = 2 x 5171

Step 2: Find the prime factorization of 10349

10349 = 79 x 131

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

LCM = 107029358 = 2 x 79 x 131 x 5171

Step 4: Therefore, the least common multiple of 10342 and 10349 is 107029358.