Least Common Multiple of 23359 and 23362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23359 and 23362 the smallest integer that is 545712958 that is divisible by both numbers.

Least Common Multiple (LCM) of 23359 and 23362 is 545712958.

LCM(23359,23362) = 545712958

LCM of 23359 and 23362

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

LCM of:
and

Least Common Multiple of 23359 and 23362

LCM of 23359 and 23362 is 545712958

Least common multiple can be found by multiplying the highest exponent prime factors of 23359 and 23362. First we will calculate the prime factors of 23359 and 23362.

Prime Factorization of 23359


7 23359
47 3337
71 71
1

Prime factors of 23359 are 7, 47,71. Prime factorization of 23359 in exponential form is:

23359 = 71×471×711

Prime Factorization of 23362


2 23362
11681 11681
1

Prime factors of 23362 are 2,11681. Prime factorization of 23362 in exponential form is:

23362 = 21×116811

Now multiplying the highest exponent prime factors to calculate the LCM of 23359 and 23362.

LCM(23359,23362) = 21×71×471×711×116811
LCM(23359,23362) = 545712958

Factors of 23359

List of positive integer factors of 23359 that divides 23359 without a remainder.

1, 7, 47, 71, 329, 497, 3337, 23359

Factors of 23362

List of positive integer factors of 23362 that divides 23362 without a remainder.

1, 2, 11681, 23362

Least Common Multiple of 23359 and 23362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23359 and 23362, than apply into the LCM equation.

GCF(23359,23362) = 1
LCM(23359,23362) = ( 23359 × 23362) / 1
LCM(23359,23362) = 545712958 / 1
LCM(23359,23362) = 545712958

Properties of LCM 23359 and 23362

(i) The LCM of 23362 and 23359 is associative

LCM of 23359 and 23362 = LCM of 23362 and 23359

Related Least Common Multiples of 23359

Related Least Common Multiples of 23362

Frequently Asked Questions on LCM of 23359 and 23362

1. What is the LCM of 23359 and 23362?

Answer: LCM of 23359 and 23362 is 545712958.

2. What are the Factors of 23359?

Answer: Factors of 23359 are 1, 7, 47, 71, 329, 497, 3337, 23359. There are 8 integers that are factors of 23359. The greatest factor of 23359 is 23359.

3. What are the Factors of 23362?

Answer: Factors of 23362 are 1, 2, 11681, 23362. There are 4 integers that are factors of 23362. The greatest factor of 23362 is 23362.

4. How to Find the LCM of 23359 and 23362?

Answer:

Least Common Multiple of 23359 and 23362 = 545712958

Step 1: Find the prime factorization of 23359

23359 = 7 x 47 x 71

Step 2: Find the prime factorization of 23362

23362 = 2 x 11681

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

LCM = 545712958 = 2 x 7 x 47 x 71 x 11681

Step 4: Therefore, the least common multiple of 23359 and 23362 is 545712958.