Least Common Multiple of 834 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 834 and 842 the smallest integer that is 351114 that is divisible by both numbers.

Least Common Multiple (LCM) of 834 and 842 is 351114.

LCM(834,842) = 351114

LCM of 834 and 842

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

LCM of:
and

Least Common Multiple of 834 and 842

LCM of 834 and 842 is 351114

Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 842. First we will calculate the prime factors of 834 and 842.

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

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 834 and 842.

LCM(834,842) = 21×31×1391×4211
LCM(834,842) = 351114

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Factors of 842

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

1, 2, 421, 842

Least Common Multiple of 834 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 834 and 842, than apply into the LCM equation.

GCF(834,842) = 2
LCM(834,842) = ( 834 × 842) / 2
LCM(834,842) = 702228 / 2
LCM(834,842) = 351114

Properties of LCM 834 and 842

(i) The LCM of 842 and 834 is associative

LCM of 834 and 842 = LCM of 842 and 834

Related Least Common Multiples of 834

Related Least Common Multiples of 842

Frequently Asked Questions on LCM of 834 and 842

1. What is the LCM of 834 and 842?

Answer: LCM of 834 and 842 is 351114.

2. 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.

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 834 and 842?

Answer:

Least Common Multiple of 834 and 842 = 351114

Step 1: Find the prime factorization of 834

834 = 2 x 3 x 139

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 = 351114 = 2 x 3 x 139 x 421

Step 4: Therefore, the least common multiple of 834 and 842 is 351114.