Least Common Multiple of 839 and 843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 839 and 843 the smallest integer that is 707277 that is divisible by both numbers.

Least Common Multiple (LCM) of 839 and 843 is 707277.

LCM(839,843) = 707277

LCM of 839 and 843

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

LCM of:
and

Least Common Multiple of 839 and 843

LCM of 839 and 843 is 707277

Least common multiple can be found by multiplying the highest exponent prime factors of 839 and 843. First we will calculate the prime factors of 839 and 843.

Prime Factorization of 839


839 839
1

Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:

839 = 8391

Prime Factorization of 843


3 843
281 281
1

Prime factors of 843 are 3,281. Prime factorization of 843 in exponential form is:

843 = 31×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 839 and 843.

LCM(839,843) = 31×2811×8391
LCM(839,843) = 707277

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1, 839

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Least Common Multiple of 839 and 843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 839 and 843, than apply into the LCM equation.

GCF(839,843) = 1
LCM(839,843) = ( 839 × 843) / 1
LCM(839,843) = 707277 / 1
LCM(839,843) = 707277

Properties of LCM 839 and 843

(i) The LCM of 843 and 839 is associative

LCM of 839 and 843 = LCM of 843 and 839

Related Least Common Multiples of 839

Related Least Common Multiples of 843

Frequently Asked Questions on LCM of 839 and 843

1. What is the LCM of 839 and 843?

Answer: LCM of 839 and 843 is 707277.

2. What are the Factors of 839?

Answer: Factors of 839 are 1, 839. There are 2 integers that are factors of 839. The greatest factor of 839 is 839.

3. What are the Factors of 843?

Answer: Factors of 843 are 1, 3, 281, 843. There are 4 integers that are factors of 843. The greatest factor of 843 is 843.

4. How to Find the LCM of 839 and 843?

Answer:

Least Common Multiple of 839 and 843 = 707277

Step 1: Find the prime factorization of 839

839 = 839

Step 2: Find the prime factorization of 843

843 = 3 x 281

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

LCM = 707277 = 3 x 281 x 839

Step 4: Therefore, the least common multiple of 839 and 843 is 707277.