Least Common Multiple of 834 and 838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 834 and 838 the smallest integer that is 349446 that is divisible by both numbers.

Least Common Multiple (LCM) of 834 and 838 is 349446.

LCM(834,838) = 349446

LCM of 834 and 838

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

LCM of:
and

Least Common Multiple of 834 and 838

LCM of 834 and 838 is 349446

Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 838. First we will calculate the prime factors of 834 and 838.

Prime Factorization of 834


2 834
3 417
139 139
1

Prime factors of 834 are 2, 3,139. Prime factorization of 834 in exponential form is:

834 = 21×31×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 834 and 838.

LCM(834,838) = 21×31×1391×4191
LCM(834,838) = 349446

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Factors of 838

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

1, 2, 419, 838

Least Common Multiple of 834 and 838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 834 and 838, than apply into the LCM equation.

GCF(834,838) = 2
LCM(834,838) = ( 834 × 838) / 2
LCM(834,838) = 698892 / 2
LCM(834,838) = 349446

Properties of LCM 834 and 838

(i) The LCM of 838 and 834 is associative

LCM of 834 and 838 = LCM of 838 and 834

Related Least Common Multiples of 834

Related Least Common Multiples of 838

Frequently Asked Questions on LCM of 834 and 838

1. What is the LCM of 834 and 838?

Answer: LCM of 834 and 838 is 349446.

2. What are the Factors of 834?

Answer: Factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834. There are 8 integers that are factors of 834. The greatest factor of 834 is 834.

3. 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.

4. How to Find the LCM of 834 and 838?

Answer:

Least Common Multiple of 834 and 838 = 349446

Step 1: Find the prime factorization of 834

834 = 2 x 3 x 139

Step 2: Find the prime factorization of 838

838 = 2 x 419

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

LCM = 349446 = 2 x 3 x 139 x 419

Step 4: Therefore, the least common multiple of 834 and 838 is 349446.