Least Common Multiple of 838 and 839

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 839 the smallest integer that is 703082 that is divisible by both numbers.

Least Common Multiple (LCM) of 838 and 839 is 703082.

LCM(838,839) = 703082

LCM of 838 and 839

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

LCM of:
and

Least Common Multiple of 838 and 839

LCM of 838 and 839 is 703082

Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 839. First we will calculate the prime factors of 838 and 839.

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 839


839 839
1

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

839 = 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 838 and 839.

LCM(838,839) = 21×4191×8391
LCM(838,839) = 703082

Factors of 838

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

1, 2, 419, 838

Factors of 839

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

1, 839

Least Common Multiple of 838 and 839 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 839, than apply into the LCM equation.

GCF(838,839) = 1
LCM(838,839) = ( 838 × 839) / 1
LCM(838,839) = 703082 / 1
LCM(838,839) = 703082

Properties of LCM 838 and 839

(i) The LCM of 839 and 838 is associative

LCM of 838 and 839 = LCM of 839 and 838

Related Least Common Multiples of 838

Related Least Common Multiples of 839

Frequently Asked Questions on LCM of 838 and 839

1. What is the LCM of 838 and 839?

Answer: LCM of 838 and 839 is 703082.

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 839?

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

4. How to Find the LCM of 838 and 839?

Answer:

Least Common Multiple of 838 and 839 = 703082

Step 1: Find the prime factorization of 838

838 = 2 x 419

Step 2: Find the prime factorization of 839

839 = 839

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

LCM = 703082 = 2 x 419 x 839

Step 4: Therefore, the least common multiple of 838 and 839 is 703082.