Least Common Multiple of 834 and 841

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 841 the smallest integer that is 701394 that is divisible by both numbers.

Least Common Multiple (LCM) of 834 and 841 is 701394.

LCM(834,841) = 701394

LCM of 834 and 841

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

LCM of:
and

Least Common Multiple of 834 and 841

LCM of 834 and 841 is 701394

Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 841. First we will calculate the prime factors of 834 and 841.

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 841


29 841
29 29
1

Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:

841 = 292

Now multiplying the highest exponent prime factors to calculate the LCM of 834 and 841.

LCM(834,841) = 21×31×292×1391
LCM(834,841) = 701394

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 841

List of positive integer factors of 841 that divides 841 without a remainder.

1, 29, 841

Least Common Multiple of 834 and 841 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 841, than apply into the LCM equation.

GCF(834,841) = 1
LCM(834,841) = ( 834 × 841) / 1
LCM(834,841) = 701394 / 1
LCM(834,841) = 701394

Properties of LCM 834 and 841

(i) The LCM of 841 and 834 is associative

LCM of 834 and 841 = LCM of 841 and 834

Related Least Common Multiples of 834

Related Least Common Multiples of 841

Frequently Asked Questions on LCM of 834 and 841

1. What is the LCM of 834 and 841?

Answer: LCM of 834 and 841 is 701394.

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 841?

Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.

4. How to Find the LCM of 834 and 841?

Answer:

Least Common Multiple of 834 and 841 = 701394

Step 1: Find the prime factorization of 834

834 = 2 x 3 x 139

Step 2: Find the prime factorization of 841

841 = 29 x 29

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

LCM = 701394 = 2 x 3 x 29 x 29 x 139

Step 4: Therefore, the least common multiple of 834 and 841 is 701394.