Least Common Multiple of 829 and 835

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 835 the smallest integer that is 692215 that is divisible by both numbers.

Least Common Multiple (LCM) of 829 and 835 is 692215.

LCM(829,835) = 692215

LCM of 829 and 835

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

LCM of:
and

Least Common Multiple of 829 and 835

LCM of 829 and 835 is 692215

Least common multiple can be found by multiplying the highest exponent prime factors of 829 and 835. First we will calculate the prime factors of 829 and 835.

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 835


5 835
167 167
1

Prime factors of 835 are 5,167. Prime factorization of 835 in exponential form is:

835 = 51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 829 and 835.

LCM(829,835) = 51×1671×8291
LCM(829,835) = 692215

Factors of 829

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

1, 829

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Least Common Multiple of 829 and 835 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 835, than apply into the LCM equation.

GCF(829,835) = 1
LCM(829,835) = ( 829 × 835) / 1
LCM(829,835) = 692215 / 1
LCM(829,835) = 692215

Properties of LCM 829 and 835

(i) The LCM of 835 and 829 is associative

LCM of 829 and 835 = LCM of 835 and 829

Related Least Common Multiples of 829

Related Least Common Multiples of 835

Frequently Asked Questions on LCM of 829 and 835

1. What is the LCM of 829 and 835?

Answer: LCM of 829 and 835 is 692215.

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 835?

Answer: Factors of 835 are 1, 5, 167, 835. There are 4 integers that are factors of 835. The greatest factor of 835 is 835.

4. How to Find the LCM of 829 and 835?

Answer:

Least Common Multiple of 829 and 835 = 692215

Step 1: Find the prime factorization of 829

829 = 829

Step 2: Find the prime factorization of 835

835 = 5 x 167

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

LCM = 692215 = 5 x 167 x 829

Step 4: Therefore, the least common multiple of 829 and 835 is 692215.