Least Common Multiple of 11342 and 11346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11342 and 11346 the smallest integer that is 64343166 that is divisible by both numbers.

Least Common Multiple (LCM) of 11342 and 11346 is 64343166.

LCM(11342,11346) = 64343166

LCM of 11342 and 11346

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

LCM of:
and

Least Common Multiple of 11342 and 11346

LCM of 11342 and 11346 is 64343166

Least common multiple can be found by multiplying the highest exponent prime factors of 11342 and 11346. First we will calculate the prime factors of 11342 and 11346.

Prime Factorization of 11342


2 11342
53 5671
107 107
1

Prime factors of 11342 are 2, 53,107. Prime factorization of 11342 in exponential form is:

11342 = 21×531×1071

Prime Factorization of 11346


2 11346
3 5673
31 1891
61 61
1

Prime factors of 11346 are 2, 3, 31,61. Prime factorization of 11346 in exponential form is:

11346 = 21×31×311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 11342 and 11346.

LCM(11342,11346) = 21×31×311×531×611×1071
LCM(11342,11346) = 64343166

Factors of 11342

List of positive integer factors of 11342 that divides 11342 without a remainder.

1, 2, 53, 106, 107, 214, 5671, 11342

Factors of 11346

List of positive integer factors of 11346 that divides 11346 without a remainder.

1, 2, 3, 6, 31, 61, 62, 93, 122, 183, 186, 366, 1891, 3782, 5673, 11346

Least Common Multiple of 11342 and 11346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11342 and 11346, than apply into the LCM equation.

GCF(11342,11346) = 2
LCM(11342,11346) = ( 11342 × 11346) / 2
LCM(11342,11346) = 128686332 / 2
LCM(11342,11346) = 64343166

Properties of LCM 11342 and 11346

(i) The LCM of 11346 and 11342 is associative

LCM of 11342 and 11346 = LCM of 11346 and 11342

Related Least Common Multiples of 11342

Related Least Common Multiples of 11346

Frequently Asked Questions on LCM of 11342 and 11346

1. What is the LCM of 11342 and 11346?

Answer: LCM of 11342 and 11346 is 64343166.

2. What are the Factors of 11342?

Answer: Factors of 11342 are 1, 2, 53, 106, 107, 214, 5671, 11342. There are 8 integers that are factors of 11342. The greatest factor of 11342 is 11342.

3. What are the Factors of 11346?

Answer: Factors of 11346 are 1, 2, 3, 6, 31, 61, 62, 93, 122, 183, 186, 366, 1891, 3782, 5673, 11346. There are 16 integers that are factors of 11346. The greatest factor of 11346 is 11346.

4. How to Find the LCM of 11342 and 11346?

Answer:

Least Common Multiple of 11342 and 11346 = 64343166

Step 1: Find the prime factorization of 11342

11342 = 2 x 53 x 107

Step 2: Find the prime factorization of 11346

11346 = 2 x 3 x 31 x 61

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

LCM = 64343166 = 2 x 3 x 31 x 53 x 61 x 107

Step 4: Therefore, the least common multiple of 11342 and 11346 is 64343166.