Least Common Multiple of 836 and 842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 836 and 842 the smallest integer that is 351956 that is divisible by both numbers.

Least Common Multiple (LCM) of 836 and 842 is 351956.

LCM(836,842) = 351956

LCM of 836 and 842

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

LCM of:
and

Least Common Multiple of 836 and 842

LCM of 836 and 842 is 351956

Least common multiple can be found by multiplying the highest exponent prime factors of 836 and 842. First we will calculate the prime factors of 836 and 842.

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

Prime Factorization of 842


2 842
421 421
1

Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:

842 = 21×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 836 and 842.

LCM(836,842) = 22×111×191×4211
LCM(836,842) = 351956

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

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Least Common Multiple of 836 and 842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 836 and 842, than apply into the LCM equation.

GCF(836,842) = 2
LCM(836,842) = ( 836 × 842) / 2
LCM(836,842) = 703912 / 2
LCM(836,842) = 351956

Properties of LCM 836 and 842

(i) The LCM of 842 and 836 is associative

LCM of 836 and 842 = LCM of 842 and 836

Related Least Common Multiples of 836

Related Least Common Multiples of 842

Frequently Asked Questions on LCM of 836 and 842

1. What is the LCM of 836 and 842?

Answer: LCM of 836 and 842 is 351956.

2. 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.

3. What are the Factors of 842?

Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.

4. How to Find the LCM of 836 and 842?

Answer:

Least Common Multiple of 836 and 842 = 351956

Step 1: Find the prime factorization of 836

836 = 2 x 2 x 11 x 19

Step 2: Find the prime factorization of 842

842 = 2 x 421

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

LCM = 351956 = 2 x 2 x 11 x 19 x 421

Step 4: Therefore, the least common multiple of 836 and 842 is 351956.