Least Common Multiple of 838 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 838 and 843 the smallest integer that is 706434 that is divisible by both numbers.

Least Common Multiple (LCM) of 838 and 843 is 706434.

LCM(838,843) = 706434

LCM of 838 and 843

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

LCM of:
and

Least Common Multiple of 838 and 843

LCM of 838 and 843 is 706434

Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 843. First we will calculate the prime factors of 838 and 843.

Prime Factorization of 838


2 838
419 419
1

Prime factors of 838 are 2,419. Prime factorization of 838 in exponential form is:

838 = 21×4191

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 838 and 843.

LCM(838,843) = 21×31×2811×4191
LCM(838,843) = 706434

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Factors of 843

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

1, 3, 281, 843

Least Common Multiple of 838 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 838 and 843, than apply into the LCM equation.

GCF(838,843) = 1
LCM(838,843) = ( 838 × 843) / 1
LCM(838,843) = 706434 / 1
LCM(838,843) = 706434

Properties of LCM 838 and 843

(i) The LCM of 843 and 838 is associative

LCM of 838 and 843 = LCM of 843 and 838

Related Least Common Multiples of 838

Related Least Common Multiples of 843

Frequently Asked Questions on LCM of 838 and 843

1. What is the LCM of 838 and 843?

Answer: LCM of 838 and 843 is 706434.

2. What are the Factors of 838?

Answer: Factors of 838 are 1, 2, 419, 838. There are 4 integers that are factors of 838. The greatest factor of 838 is 838.

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 838 and 843?

Answer:

Least Common Multiple of 838 and 843 = 706434

Step 1: Find the prime factorization of 838

838 = 2 x 419

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 = 706434 = 2 x 3 x 281 x 419

Step 4: Therefore, the least common multiple of 838 and 843 is 706434.