Least Common Multiple of 837 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 837 and 838 the smallest integer that is 701406 that is divisible by both numbers.

Least Common Multiple (LCM) of 837 and 838 is 701406.

LCM(837,838) = 701406

LCM of 837 and 838

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

LCM of:
and

Least Common Multiple of 837 and 838

LCM of 837 and 838 is 701406

Least common multiple can be found by multiplying the highest exponent prime factors of 837 and 838. First we will calculate the prime factors of 837 and 838.

Prime Factorization of 837


3 837
3 279
3 93
31 31
1

Prime factors of 837 are 3,31. Prime factorization of 837 in exponential form is:

837 = 33×311

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 837 and 838.

LCM(837,838) = 21×33×311×4191
LCM(837,838) = 701406

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Factors of 838

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

1, 2, 419, 838

Least Common Multiple of 837 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 837 and 838, than apply into the LCM equation.

GCF(837,838) = 1
LCM(837,838) = ( 837 × 838) / 1
LCM(837,838) = 701406 / 1
LCM(837,838) = 701406

Properties of LCM 837 and 838

(i) The LCM of 838 and 837 is associative

LCM of 837 and 838 = LCM of 838 and 837

Related Least Common Multiples of 837

Related Least Common Multiples of 838

Frequently Asked Questions on LCM of 837 and 838

1. What is the LCM of 837 and 838?

Answer: LCM of 837 and 838 is 701406.

2. What are the Factors of 837?

Answer: Factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837. There are 8 integers that are factors of 837. The greatest factor of 837 is 837.

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 837 and 838?

Answer:

Least Common Multiple of 837 and 838 = 701406

Step 1: Find the prime factorization of 837

837 = 3 x 3 x 3 x 31

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 = 701406 = 2 x 3 x 3 x 3 x 31 x 419

Step 4: Therefore, the least common multiple of 837 and 838 is 701406.