Least Common Multiple of 10342 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 10342 and 10346 the smallest integer that is 53499166 that is divisible by both numbers.

Least Common Multiple (LCM) of 10342 and 10346 is 53499166.

LCM(10342,10346) = 53499166

LCM of 10342 and 10346

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

LCM of:
and

Least Common Multiple of 10342 and 10346

LCM of 10342 and 10346 is 53499166

Least common multiple can be found by multiplying the highest exponent prime factors of 10342 and 10346. First we will calculate the prime factors of 10342 and 10346.

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 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 10342 and 10346.

LCM(10342,10346) = 21×71×7391×51711
LCM(10342,10346) = 53499166

Factors of 10342

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

1, 2, 5171, 10342

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 10342 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 10342 and 10346, than apply into the LCM equation.

GCF(10342,10346) = 2
LCM(10342,10346) = ( 10342 × 10346) / 2
LCM(10342,10346) = 106998332 / 2
LCM(10342,10346) = 53499166

Properties of LCM 10342 and 10346

(i) The LCM of 10346 and 10342 is associative

LCM of 10342 and 10346 = LCM of 10346 and 10342

Related Least Common Multiples of 10342

Related Least Common Multiples of 10346

Frequently Asked Questions on LCM of 10342 and 10346

1. What is the LCM of 10342 and 10346?

Answer: LCM of 10342 and 10346 is 53499166.

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 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 10342 and 10346?

Answer:

Least Common Multiple of 10342 and 10346 = 53499166

Step 1: Find the prime factorization of 10342

10342 = 2 x 5171

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 = 53499166 = 2 x 7 x 739 x 5171

Step 4: Therefore, the least common multiple of 10342 and 10346 is 53499166.