Least Common Multiple of 828 and 836

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 836 the smallest integer that is 173052 that is divisible by both numbers.

Least Common Multiple (LCM) of 828 and 836 is 173052.

LCM(828,836) = 173052

LCM of 828 and 836

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

LCM of:
and

Least Common Multiple of 828 and 836

LCM of 828 and 836 is 173052

Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 836. First we will calculate the prime factors of 828 and 836.

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 836


2 836
2 418
11 209
19 19
1

Prime factors of 836 are 2, 11,19. Prime factorization of 836 in exponential form is:

836 = 22×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 828 and 836.

LCM(828,836) = 22×32×111×191×231
LCM(828,836) = 173052

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 836

List of positive integer factors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Least Common Multiple of 828 and 836 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 836, than apply into the LCM equation.

GCF(828,836) = 4
LCM(828,836) = ( 828 × 836) / 4
LCM(828,836) = 692208 / 4
LCM(828,836) = 173052

Properties of LCM 828 and 836

(i) The LCM of 836 and 828 is associative

LCM of 828 and 836 = LCM of 836 and 828

Related Least Common Multiples of 828

Related Least Common Multiples of 836

Frequently Asked Questions on LCM of 828 and 836

1. What is the LCM of 828 and 836?

Answer: LCM of 828 and 836 is 173052.

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 836?

Answer: Factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836. There are 12 integers that are factors of 836. The greatest factor of 836 is 836.

4. How to Find the LCM of 828 and 836?

Answer:

Least Common Multiple of 828 and 836 = 173052

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 836

836 = 2 x 2 x 11 x 19

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

LCM = 173052 = 2 x 2 x 3 x 3 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 828 and 836 is 173052.