Least Common Multiple of 828 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 828 and 834 the smallest integer that is 115092 that is divisible by both numbers.

Least Common Multiple (LCM) of 828 and 834 is 115092.

LCM(828,834) = 115092

LCM of 828 and 834

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

LCM of:
and

Least Common Multiple of 828 and 834

LCM of 828 and 834 is 115092

Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 834. First we will calculate the prime factors of 828 and 834.

Prime Factorization of 828


2 828
2 414
3 207
3 69
23 23
1

Prime factors of 828 are 2, 3,23. Prime factorization of 828 in exponential form is:

828 = 22×32×231

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 828 and 834.

LCM(828,834) = 22×32×231×1391
LCM(828,834) = 115092

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 828 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 828 and 834, than apply into the LCM equation.

GCF(828,834) = 6
LCM(828,834) = ( 828 × 834) / 6
LCM(828,834) = 690552 / 6
LCM(828,834) = 115092

Properties of LCM 828 and 834

(i) The LCM of 834 and 828 is associative

LCM of 828 and 834 = LCM of 834 and 828

Related Least Common Multiples of 828

Related Least Common Multiples of 834

Frequently Asked Questions on LCM of 828 and 834

1. What is the LCM of 828 and 834?

Answer: LCM of 828 and 834 is 115092.

2. What are the Factors of 828?

Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.

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 828 and 834?

Answer:

Least Common Multiple of 828 and 834 = 115092

Step 1: Find the prime factorization of 828

828 = 2 x 2 x 3 x 3 x 23

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 = 115092 = 2 x 2 x 3 x 3 x 23 x 139

Step 4: Therefore, the least common multiple of 828 and 834 is 115092.