Least Common Multiple of 834 and 837

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 837 the smallest integer that is 232686 that is divisible by both numbers.

Least Common Multiple (LCM) of 834 and 837 is 232686.

LCM(834,837) = 232686

LCM of 834 and 837

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

LCM of:
and

Least Common Multiple of 834 and 837

LCM of 834 and 837 is 232686

Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 837. First we will calculate the prime factors of 834 and 837.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 834 and 837.

LCM(834,837) = 21×33×311×1391
LCM(834,837) = 232686

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 837

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

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

Least Common Multiple of 834 and 837 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 837, than apply into the LCM equation.

GCF(834,837) = 3
LCM(834,837) = ( 834 × 837) / 3
LCM(834,837) = 698058 / 3
LCM(834,837) = 232686

Properties of LCM 834 and 837

(i) The LCM of 837 and 834 is associative

LCM of 834 and 837 = LCM of 837 and 834

Related Least Common Multiples of 834

Related Least Common Multiples of 837

Frequently Asked Questions on LCM of 834 and 837

1. What is the LCM of 834 and 837?

Answer: LCM of 834 and 837 is 232686.

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 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.

4. How to Find the LCM of 834 and 837?

Answer:

Least Common Multiple of 834 and 837 = 232686

Step 1: Find the prime factorization of 834

834 = 2 x 3 x 139

Step 2: Find the prime factorization of 837

837 = 3 x 3 x 3 x 31

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

LCM = 232686 = 2 x 3 x 3 x 3 x 31 x 139

Step 4: Therefore, the least common multiple of 834 and 837 is 232686.