Least Common Multiple of 832 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 832 and 835 the smallest integer that is 694720 that is divisible by both numbers.

Least Common Multiple (LCM) of 832 and 835 is 694720.

LCM(832,835) = 694720

LCM of 832 and 835

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

LCM of:
and

Least Common Multiple of 832 and 835

LCM of 832 and 835 is 694720

Least common multiple can be found by multiplying the highest exponent prime factors of 832 and 835. First we will calculate the prime factors of 832 and 835.

Prime Factorization of 832


2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 832 are 2,13. Prime factorization of 832 in exponential form is:

832 = 26×131

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 832 and 835.

LCM(832,835) = 26×51×131×1671
LCM(832,835) = 694720

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Factors of 835

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

1, 5, 167, 835

Least Common Multiple of 832 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 832 and 835, than apply into the LCM equation.

GCF(832,835) = 1
LCM(832,835) = ( 832 × 835) / 1
LCM(832,835) = 694720 / 1
LCM(832,835) = 694720

Properties of LCM 832 and 835

(i) The LCM of 835 and 832 is associative

LCM of 832 and 835 = LCM of 835 and 832

Related Least Common Multiples of 832

Related Least Common Multiples of 835

Frequently Asked Questions on LCM of 832 and 835

1. What is the LCM of 832 and 835?

Answer: LCM of 832 and 835 is 694720.

2. What are the Factors of 832?

Answer: Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. There are 14 integers that are factors of 832. The greatest factor of 832 is 832.

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 832 and 835?

Answer:

Least Common Multiple of 832 and 835 = 694720

Step 1: Find the prime factorization of 832

832 = 2 x 2 x 2 x 2 x 2 x 2 x 13

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 = 694720 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 167

Step 4: Therefore, the least common multiple of 832 and 835 is 694720.