Least Common Multiple of 838 and 844

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 844 the smallest integer that is 353636 that is divisible by both numbers.

Least Common Multiple (LCM) of 838 and 844 is 353636.

LCM(838,844) = 353636

LCM of 838 and 844

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

LCM of:
and

Least Common Multiple of 838 and 844

LCM of 838 and 844 is 353636

Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 844. First we will calculate the prime factors of 838 and 844.

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 844


2 844
2 422
211 211
1

Prime factors of 844 are 2,211. Prime factorization of 844 in exponential form is:

844 = 22×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 838 and 844.

LCM(838,844) = 22×2111×4191
LCM(838,844) = 353636

Factors of 838

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

1, 2, 419, 838

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Least Common Multiple of 838 and 844 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 844, than apply into the LCM equation.

GCF(838,844) = 2
LCM(838,844) = ( 838 × 844) / 2
LCM(838,844) = 707272 / 2
LCM(838,844) = 353636

Properties of LCM 838 and 844

(i) The LCM of 844 and 838 is associative

LCM of 838 and 844 = LCM of 844 and 838

Related Least Common Multiples of 838

Related Least Common Multiples of 844

Frequently Asked Questions on LCM of 838 and 844

1. What is the LCM of 838 and 844?

Answer: LCM of 838 and 844 is 353636.

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 844?

Answer: Factors of 844 are 1, 2, 4, 211, 422, 844. There are 6 integers that are factors of 844. The greatest factor of 844 is 844.

4. How to Find the LCM of 838 and 844?

Answer:

Least Common Multiple of 838 and 844 = 353636

Step 1: Find the prime factorization of 838

838 = 2 x 419

Step 2: Find the prime factorization of 844

844 = 2 x 2 x 211

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

LCM = 353636 = 2 x 2 x 211 x 419

Step 4: Therefore, the least common multiple of 838 and 844 is 353636.