Least Common Multiple of 82354 and 82359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82354 and 82359 the smallest integer that is 6782593086 that is divisible by both numbers.

Least Common Multiple (LCM) of 82354 and 82359 is 6782593086.

LCM(82354,82359) = 6782593086

LCM of 82354 and 82359

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

LCM of:
and

Least Common Multiple of 82354 and 82359

LCM of 82354 and 82359 is 6782593086

Least common multiple can be found by multiplying the highest exponent prime factors of 82354 and 82359. First we will calculate the prime factors of 82354 and 82359.

Prime Factorization of 82354


2 82354
41177 41177
1

Prime factors of 82354 are 2,41177. Prime factorization of 82354 in exponential form is:

82354 = 21×411771

Prime Factorization of 82359


3 82359
3 27453
9151 9151
1

Prime factors of 82359 are 3,9151. Prime factorization of 82359 in exponential form is:

82359 = 32×91511

Now multiplying the highest exponent prime factors to calculate the LCM of 82354 and 82359.

LCM(82354,82359) = 21×32×91511×411771
LCM(82354,82359) = 6782593086

Factors of 82354

List of positive integer factors of 82354 that divides 82354 without a remainder.

1, 2, 41177, 82354

Factors of 82359

List of positive integer factors of 82359 that divides 82359 without a remainder.

1, 3, 9, 9151, 27453, 82359

Least Common Multiple of 82354 and 82359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82354 and 82359, than apply into the LCM equation.

GCF(82354,82359) = 1
LCM(82354,82359) = ( 82354 × 82359) / 1
LCM(82354,82359) = 6782593086 / 1
LCM(82354,82359) = 6782593086

Properties of LCM 82354 and 82359

(i) The LCM of 82359 and 82354 is associative

LCM of 82354 and 82359 = LCM of 82359 and 82354

Related Least Common Multiples of 82354

Related Least Common Multiples of 82359

Frequently Asked Questions on LCM of 82354 and 82359

1. What is the LCM of 82354 and 82359?

Answer: LCM of 82354 and 82359 is 6782593086.

2. What are the Factors of 82354?

Answer: Factors of 82354 are 1, 2, 41177, 82354. There are 4 integers that are factors of 82354. The greatest factor of 82354 is 82354.

3. What are the Factors of 82359?

Answer: Factors of 82359 are 1, 3, 9, 9151, 27453, 82359. There are 6 integers that are factors of 82359. The greatest factor of 82359 is 82359.

4. How to Find the LCM of 82354 and 82359?

Answer:

Least Common Multiple of 82354 and 82359 = 6782593086

Step 1: Find the prime factorization of 82354

82354 = 2 x 41177

Step 2: Find the prime factorization of 82359

82359 = 3 x 3 x 9151

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

LCM = 6782593086 = 2 x 3 x 3 x 9151 x 41177

Step 4: Therefore, the least common multiple of 82354 and 82359 is 6782593086.