Least Common Multiple of 829 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 829 and 837 the smallest integer that is 693873 that is divisible by both numbers.

Least Common Multiple (LCM) of 829 and 837 is 693873.

LCM(829,837) = 693873

LCM of 829 and 837

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

LCM of:
and

Least Common Multiple of 829 and 837

LCM of 829 and 837 is 693873

Least common multiple can be found by multiplying the highest exponent prime factors of 829 and 837. First we will calculate the prime factors of 829 and 837.

Prime Factorization of 829


829 829
1

Prime factors of 829 are 829. Prime factorization of 829 in exponential form is:

829 = 8291

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 829 and 837.

LCM(829,837) = 33×311×8291
LCM(829,837) = 693873

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1, 829

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 829 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 829 and 837, than apply into the LCM equation.

GCF(829,837) = 1
LCM(829,837) = ( 829 × 837) / 1
LCM(829,837) = 693873 / 1
LCM(829,837) = 693873

Properties of LCM 829 and 837

(i) The LCM of 837 and 829 is associative

LCM of 829 and 837 = LCM of 837 and 829

Related Least Common Multiples of 829

Related Least Common Multiples of 837

Frequently Asked Questions on LCM of 829 and 837

1. What is the LCM of 829 and 837?

Answer: LCM of 829 and 837 is 693873.

2. What are the Factors of 829?

Answer: Factors of 829 are 1, 829. There are 2 integers that are factors of 829. The greatest factor of 829 is 829.

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 829 and 837?

Answer:

Least Common Multiple of 829 and 837 = 693873

Step 1: Find the prime factorization of 829

829 = 829

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 = 693873 = 3 x 3 x 3 x 31 x 829

Step 4: Therefore, the least common multiple of 829 and 837 is 693873.