Least Common Multiple of 826 and 833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 826 and 833 the smallest integer that is 98294 that is divisible by both numbers.

Least Common Multiple (LCM) of 826 and 833 is 98294.

LCM(826,833) = 98294

LCM of 826 and 833

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

LCM of:
and

Least Common Multiple of 826 and 833

LCM of 826 and 833 is 98294

Least common multiple can be found by multiplying the highest exponent prime factors of 826 and 833. First we will calculate the prime factors of 826 and 833.

Prime Factorization of 826


2 826
7 413
59 59
1

Prime factors of 826 are 2, 7,59. Prime factorization of 826 in exponential form is:

826 = 21×71×591

Prime Factorization of 833


7 833
7 119
17 17
1

Prime factors of 833 are 7,17. Prime factorization of 833 in exponential form is:

833 = 72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 826 and 833.

LCM(826,833) = 21×72×171×591
LCM(826,833) = 98294

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Least Common Multiple of 826 and 833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 826 and 833, than apply into the LCM equation.

GCF(826,833) = 7
LCM(826,833) = ( 826 × 833) / 7
LCM(826,833) = 688058 / 7
LCM(826,833) = 98294

Properties of LCM 826 and 833

(i) The LCM of 833 and 826 is associative

LCM of 826 and 833 = LCM of 833 and 826

Related Least Common Multiples of 826

Related Least Common Multiples of 833

Frequently Asked Questions on LCM of 826 and 833

1. What is the LCM of 826 and 833?

Answer: LCM of 826 and 833 is 98294.

2. What are the Factors of 826?

Answer: Factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826. There are 8 integers that are factors of 826. The greatest factor of 826 is 826.

3. What are the Factors of 833?

Answer: Factors of 833 are 1, 7, 17, 49, 119, 833. There are 6 integers that are factors of 833. The greatest factor of 833 is 833.

4. How to Find the LCM of 826 and 833?

Answer:

Least Common Multiple of 826 and 833 = 98294

Step 1: Find the prime factorization of 826

826 = 2 x 7 x 59

Step 2: Find the prime factorization of 833

833 = 7 x 7 x 17

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

LCM = 98294 = 2 x 7 x 7 x 17 x 59

Step 4: Therefore, the least common multiple of 826 and 833 is 98294.