Least Common Multiple of 829 and 834

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 834 the smallest integer that is 691386 that is divisible by both numbers.

Least Common Multiple (LCM) of 829 and 834 is 691386.

LCM(829,834) = 691386

LCM of 829 and 834

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

LCM of:
and

Least Common Multiple of 829 and 834

LCM of 829 and 834 is 691386

Least common multiple can be found by multiplying the highest exponent prime factors of 829 and 834. First we will calculate the prime factors of 829 and 834.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 829 and 834.

LCM(829,834) = 21×31×1391×8291
LCM(829,834) = 691386

Factors of 829

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

1, 829

Factors of 834

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

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

Least Common Multiple of 829 and 834 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 834, than apply into the LCM equation.

GCF(829,834) = 1
LCM(829,834) = ( 829 × 834) / 1
LCM(829,834) = 691386 / 1
LCM(829,834) = 691386

Properties of LCM 829 and 834

(i) The LCM of 834 and 829 is associative

LCM of 829 and 834 = LCM of 834 and 829

Related Least Common Multiples of 829

Related Least Common Multiples of 834

Frequently Asked Questions on LCM of 829 and 834

1. What is the LCM of 829 and 834?

Answer: LCM of 829 and 834 is 691386.

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 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.

4. How to Find the LCM of 829 and 834?

Answer:

Least Common Multiple of 829 and 834 = 691386

Step 1: Find the prime factorization of 829

829 = 829

Step 2: Find the prime factorization of 834

834 = 2 x 3 x 139

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

LCM = 691386 = 2 x 3 x 139 x 829

Step 4: Therefore, the least common multiple of 829 and 834 is 691386.